Pith Number

pith:PWTLRXXH

pith:2011:PWTLRXXHCH5DRPD6V3ZH3OQMAY

not attested not anchored not stored refs pending

On Schur function expansions of Thom polynomials

\"Ozer \"Ozt\"urk, Piotr Pragacz

arxiv:1111.6612 v4 · 2011-11-28 · math.AG · math.AT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PWTLRXXHCH5DRPD6V3ZH3OQMAY}

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	2026-05-18T03:46:16.837466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7da6b8dee711fa38bc7eaef27dba0c0621b6f72ca6616c454fe2ef537231b17c

Aliases

arxiv: 1111.6612 · arxiv_version: 1111.6612v4 · doi: 10.48550/arxiv.1111.6612 · pith_short_12: PWTLRXXHCH5D · pith_short_16: PWTLRXXHCH5DRPD6 · pith_short_8: PWTLRXXH

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/PWTLRXXHCH5DRPD6V3ZH3OQMAY \
  | 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: 7da6b8dee711fa38bc7eaef27dba0c0621b6f72ca6616c454fe2ef537231b17c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57c67f7a3ff5b75ed1408111fd78c71580b166e37ac3a6e5d95c4576dca9032f",
    "cross_cats_sorted": [
      "math.AT",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-11-28T21:17:14Z",
    "title_canon_sha256": "89319a4a304227f386fd56938e7f18f2d5dd50ec6317e1b65a7548c623636dfd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6612",
    "kind": "arxiv",
    "version": 4
  }
}