Pith Number

pith:BNBKB4JX

pith:2007:BNBKB4JXPVH3P4ICBDORLZXA2U

not attested not anchored not stored refs pending

Tau-function of discrete isomonodromy transformations and probability

A. Borodin, D. Arinkin

arxiv:0706.3073 v1 · 2007-06-21 · math.AG · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BNBKB4JXPVH3P4ICBDORLZXA2U}

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	2026-05-18T03:02:45.168977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b42a0f1377d4fb7f10208dd15e6e0d5343b5ba1f274513ac4aa904bf3b67363

Aliases

arxiv: 0706.3073 · arxiv_version: 0706.3073v1 · doi: 10.48550/arxiv.0706.3073 · pith_short_12: BNBKB4JXPVH3 · pith_short_16: BNBKB4JXPVH3P4IC · pith_short_8: BNBKB4JX

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/BNBKB4JXPVH3P4ICBDORLZXA2U \
  | 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: 0b42a0f1377d4fb7f10208dd15e6e0d5343b5ba1f274513ac4aa904bf3b67363

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50b3e416ccc4201533f8ce97bbca242e1ecf59c6dcb28cf1619588a92c894622",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2007-06-21T01:23:13Z",
    "title_canon_sha256": "6c2b8c2049e919db2811c04ca5c2e8addbaf3c5fdf658e81cf1c32e1cb46def1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.3073",
    "kind": "arxiv",
    "version": 1
  }
}