Pith Number

pith:QFOKCHDR

pith:2023:QFOKCHDRIUN7X7QBTGCEXCXM35

not attested not anchored not stored refs pending

Averaging method in combinatorics of symmetric polynomials

A. Mironov, A. Morozov

arxiv:2302.05903 v2 · 2023-02-12 · hep-th · math-ph · math.CO · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QFOKCHDRIUN7X7QBTGCEXCXM35}

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	2026-07-05T06:26:18.389350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

815ca11c71451bfbfe0199844b8aecdf6c3d6b4a1ded7e880c2b4d12bbcc7dae

Aliases

arxiv: 2302.05903 · arxiv_version: 2302.05903v2 · doi: 10.48550/arxiv.2302.05903 · pith_short_12: QFOKCHDRIUN7 · pith_short_16: QFOKCHDRIUN7X7QB · pith_short_8: QFOKCHDR

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/QFOKCHDRIUN7X7QBTGCEXCXM35 \
  | 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: 815ca11c71451bfbfe0199844b8aecdf6c3d6b4a1ded7e880c2b4d12bbcc7dae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "065d39109216d99b8191fb660fea96286ae7b3943310629cd32e0c5c62412e17",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2023-02-12T12:52:48Z",
    "title_canon_sha256": "1dffa3e03397b11fb683e65f3dc66648c2e88b89476f8bcd02666aa6a8bc7e30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.05903",
    "kind": "arxiv",
    "version": 2
  }
}