Pith Number

pith:XJCYCYJF

pith:2003:XJCYCYJFPBCGD3MNU27URGKJQG

not attested not anchored not stored refs pending

On refined enumerations of some symmetry classes of ASMs

A. V. Razumov, Yu. G. Stroganov

arxiv:math-ph/0312071 v1 · 2003-12-29 · math-ph · hep-th · 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{XJCYCYJFPBCGD3MNU27URGKJQG}

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	2026-05-18T04:17:27.171891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba45816125784461ed8da6bf48994981b50be2ba0ab39029e283491070b01bea

Aliases

arxiv: math-ph/0312071 · arxiv_version: math-ph/0312071v1 · doi: 10.48550/arxiv.math-ph/0312071 · pith_short_12: XJCYCYJFPBCG · pith_short_16: XJCYCYJFPBCGD3MN · pith_short_8: XJCYCYJF

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/XJCYCYJFPBCGD3MNU27URGKJQG \
  | 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: ba45816125784461ed8da6bf48994981b50be2ba0ab39029e283491070b01bea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fc205de581c441691c6d61b75ff5360b70fd601a3091510625d2a7bbac1d379",
    "cross_cats_sorted": [
      "hep-th",
      "math.CO",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2003-12-29T09:31:05Z",
    "title_canon_sha256": "2fde94ae41d117dc44cdca947fac134497baacd523402838bad3a61c5a53161b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0312071",
    "kind": "arxiv",
    "version": 1
  }
}