Pith Number

pith:WIJC5CWR

pith:2008:WIJC5CWR6QY2IJQ4HG4ZGI2GJT

not attested not anchored not stored refs pending

A special case of the $\Gamma_{00}$ conjecture

Samuel Grushevsky

arxiv:0804.0525 v3 · 2008-04-03 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WIJC5CWR6QY2IJQ4HG4ZGI2GJT}

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	2026-05-18T04:41:35.188733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2122e8ad1f431a4261c39b99323464cedf8e1acbeb2ab84e96c56ad14f0855e

Aliases

arxiv: 0804.0525 · arxiv_version: 0804.0525v3 · doi: 10.48550/arxiv.0804.0525 · pith_short_12: WIJC5CWR6QY2 · pith_short_16: WIJC5CWR6QY2IJQ4 · pith_short_8: WIJC5CWR

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/WIJC5CWR6QY2IJQ4HG4ZGI2GJT \
  | 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: b2122e8ad1f431a4261c39b99323464cedf8e1acbeb2ab84e96c56ad14f0855e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e11a1dfdf084cb08854aed523ec2f2a738cdb95fe9c0394cddb214266cbc757c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-04-03T11:42:07Z",
    "title_canon_sha256": "27dc70287ad706f7384c9e62ba140a5ce1478571a36e985183e68dcbbbba5c08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.0525",
    "kind": "arxiv",
    "version": 3
  }
}