Pith Number

pith:YMIOYMGJ

pith:2005:YMIOYMGJSLU4X2PEIDJPKVRDLD

not attested not anchored not stored refs pending

Shuffle relations for regularised integrals of symbols

Dominique Manchon, Sylvie Paycha

arxiv:math-ph/0510067 v2 · 2005-10-18 · 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{YMIOYMGJSLU4X2PEIDJPKVRDLD}

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	2026-05-18T01:38:33.000820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c310ec30c992e9cbe9e440d2f5562358c9f8239becbfe336a5d7aac7de374488

Aliases

arxiv: math-ph/0510067 · arxiv_version: math-ph/0510067v2 · doi: 10.48550/arxiv.math-ph/0510067 · pith_short_12: YMIOYMGJSLU4 · pith_short_16: YMIOYMGJSLU4X2PE · pith_short_8: YMIOYMGJ

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/YMIOYMGJSLU4X2PEIDJPKVRDLD \
  | 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: c310ec30c992e9cbe9e440d2f5562358c9f8239becbfe336a5d7aac7de374488

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf7bccc4c42aff7f7e2645cd76f0a09655d4386ed8b6375fb0477157d9783503",
    "cross_cats_sorted": [
      "math.CO",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2005-10-18T10:43:41Z",
    "title_canon_sha256": "c5cfb67b589437a68ccec21571e0e2c76432f19c98f709e0272223883eee5c1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0510067",
    "kind": "arxiv",
    "version": 2
  }
}