Pith Number

pith:PI5PCS5I

pith:2013:PI5PCS5IBLZ6D3JFW2URCS5EQZ

not attested not anchored not stored refs pending

Operators on Symmetric Polynomials

Andrei Negut

arxiv:1310.3515 v1 · 2013-10-13 · math.CO · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PI5PCS5IBLZ6D3JFW2URCS5EQZ}

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	2026-05-18T03:10:35.488636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a3af14ba80af3e1ed25b6a9114ba4867e1de39a5e3f9788d87c224fde2d0de4

Aliases

arxiv: 1310.3515 · arxiv_version: 1310.3515v1 · doi: 10.48550/arxiv.1310.3515 · pith_short_12: PI5PCS5IBLZ6 · pith_short_16: PI5PCS5IBLZ6D3JF · pith_short_8: PI5PCS5I

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/PI5PCS5IBLZ6D3JFW2URCS5EQZ \
  | 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: 7a3af14ba80af3e1ed25b6a9114ba4867e1de39a5e3f9788d87c224fde2d0de4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8b6a494055ee159957a2d29106ff2a685ac4fb4c52d017331c89852ce3eceae",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-10-13T20:16:34Z",
    "title_canon_sha256": "37502ad027107b256ce06a41e9832057e7768304f4ce15757a3f51ec510e47d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.3515",
    "kind": "arxiv",
    "version": 1
  }
}