Pith Number

pith:2FNGZRCV

pith:2015:2FNGZRCVAP4NVVUDC4EBF35ACF

not attested not anchored not stored refs pending

Hodge Theory for Combinatorial Geometries

Eric Katz, June Huh, Karim Adiprasito

arxiv:1511.02888 v2 · 2015-11-09 · math.CO · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2FNGZRCVAP4NVVUDC4EBF35ACF}

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.

Receipt and verification

First computed	2026-05-18T00:17:13.739528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d15a6cc45503f8dad683170812efa01157eb0987a7d6a41bc68eed93cf898e6a

Aliases

arxiv: 1511.02888 · arxiv_version: 1511.02888v2 · doi: 10.48550/arxiv.1511.02888 · pith_short_12: 2FNGZRCVAP4N · pith_short_16: 2FNGZRCVAP4NVVUD · pith_short_8: 2FNGZRCV

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/2FNGZRCVAP4NVVUDC4EBF35ACF \
  | 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: d15a6cc45503f8dad683170812efa01157eb0987a7d6a41bc68eed93cf898e6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11cd19f0bedc5f457efed4e3e53b47810f9a78aa17a48432c003df079b1e139b",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-11-09T21:15:04Z",
    "title_canon_sha256": "c4dbd41e75293a3e2918a9ce6d030ddf9fe6ea3b6ba8d1a0b9d0a4b5b0e8fd03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02888",
    "kind": "arxiv",
    "version": 2
  }
}