Pith Number

pith:Q3C7HLDF

pith:2018:Q3C7HLDF24NW4U5PBD4VRF7TNP

not attested not anchored not stored refs pending

Residues, Grothendieck polynomials and K-theoretic Thom polynomials

Andras Szenes, Richard Rimanyi

arxiv:1811.02055 v1 · 2018-11-05 · math.AT · 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{Q3C7HLDF24NW4U5PBD4VRF7TNP}

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	2026-05-18T00:01:25.127522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86c5f3ac65d71b6e53af08f95897f36beb2d846e07fd0fa46446d67f712f1d17

Aliases

arxiv: 1811.02055 · arxiv_version: 1811.02055v1 · doi: 10.48550/arxiv.1811.02055 · pith_short_12: Q3C7HLDF24NW · pith_short_16: Q3C7HLDF24NW4U5P · pith_short_8: Q3C7HLDF

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/Q3C7HLDF24NW4U5PBD4VRF7TNP \
  | 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: 86c5f3ac65d71b6e53af08f95897f36beb2d846e07fd0fa46446d67f712f1d17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da5486a204ffc0907aaedbbc8c0727222232639a5050aa7254474de93f96dd4e",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2018-11-05T22:12:08Z",
    "title_canon_sha256": "14aeec0da8956f979cc18c84cedfc6cad6dc9a30cb13b2fb9bc90c1ed13a1054"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.02055",
    "kind": "arxiv",
    "version": 1
  }
}