Pith Number

pith:YCTVSBQT

pith:2006:YCTVSBQTFU274XPHTJZCJZO4ID

not attested not anchored not stored refs pending

The work of Andrei Okounkov

Giovanni Felder (ETH Zurich)

arxiv:math/0609847 v1 · 2006-09-29 · math.GM · math-ph · math.AG · math.DS · math.MP · math.PR · math.QA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YCTVSBQTFU274XPHTJZCJZO4ID}

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	2026-07-04T15:07:07.459133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0a75906132d35fe5de79a7224e5dc40e2860bdbdaf50a85c3f154ba703ab09c

Aliases

arxiv: math/0609847 · arxiv_version: math/0609847v1 · doi: 10.48550/arxiv.math/0609847 · pith_short_12: YCTVSBQTFU27 · pith_short_16: YCTVSBQTFU274XPH · pith_short_8: YCTVSBQT

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/YCTVSBQTFU274XPHTJZCJZO4ID \
  | 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: c0a75906132d35fe5de79a7224e5dc40e2860bdbdaf50a85c3f154ba703ab09c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7434a174fd068bedab7691da93e8c1f8d3b5f35a16bef5de29c23997bac96610",
    "cross_cats_sorted": [
      "math-ph",
      "math.AG",
      "math.DS",
      "math.MP",
      "math.PR",
      "math.QA",
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.GM",
    "submitted_at": "2006-09-29T16:27:16Z",
    "title_canon_sha256": "95dbca2c11f87b131e8ce7061c154671863fb1f965546f594e0678e9e33ded69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0609847",
    "kind": "arxiv",
    "version": 1
  }
}