Pith Number

pith:SH6MXLTM

pith:2018:SH6MXLTMJ3VC2NJBDBFASM5PX4

not attested not anchored not stored refs pending

Combinatorial Lefschetz theorems beyond positivity

Karim Adiprasito

arxiv:1812.10454 v4 · 2018-12-26 · math.CO · math.AC · math.AG · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SH6MXLTMJ3VC2NJBDBFASM5PX4}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

5 papers in Pith

Chow functions for partially ordered sets

Frobenius identities for the volume map on Cohen--Macaulay rings

Power set operads

Matroid analogues of Gal's conjecture

Lower bounds on the $g$-numbers of spheres without large missing faces

Receipt and verification

First computed	2026-05-17T23:41:45.463048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91fccbae6c4eea2d3521184a0933afbf08dd007fe452900416a3d657a5de0160

Aliases

arxiv: 1812.10454 · arxiv_version: 1812.10454v4 · doi: 10.48550/arxiv.1812.10454 · pith_short_12: SH6MXLTMJ3VC · pith_short_16: SH6MXLTMJ3VC2NJB · pith_short_8: SH6MXLTM

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/SH6MXLTMJ3VC2NJBDBFASM5PX4 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 91fccbae6c4eea2d3521184a0933afbf08dd007fe452900416a3d657a5de0160

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4e4ce9dd070eea97c4cf001e9fb28512f1777a48ff3c9bf5fbf68599ffbdcc2",
    "cross_cats_sorted": [
      "math.AC",
      "math.AG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-12-26T18:39:13Z",
    "title_canon_sha256": "721c92c650bc613fca746f6129e0329ae43ad9d1664755683a54798088d569f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.10454",
    "kind": "arxiv",
    "version": 4
  }
}