Pith Number

pith:45JZ3LJU

pith:2010:45JZ3LJUR236H4Y4GW7KSMJIRS

not attested not anchored not stored refs pending

Birational stability of the cotangent bundle

Frederic Campana

arxiv:1008.4850 v1 · 2010-08-28 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{45JZ3LJUR236H4Y4GW7KSMJIRS}

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	2026-05-18T04:41:43.551287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7539dad348eb7e3f31c35bea931288cb707f804ee43fec6049944bed7c39c14

Aliases

arxiv: 1008.4850 · arxiv_version: 1008.4850v1 · doi: 10.48550/arxiv.1008.4850 · pith_short_12: 45JZ3LJUR236 · pith_short_16: 45JZ3LJUR236H4Y4 · pith_short_8: 45JZ3LJU

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/45JZ3LJUR236H4Y4GW7KSMJIRS \
  | 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: e7539dad348eb7e3f31c35bea931288cb707f804ee43fec6049944bed7c39c14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "482258e3b8f7446344aa38998f45f709527a08d8321be59ec2403dbcb598460c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-08-28T09:10:06Z",
    "title_canon_sha256": "96e26045a17b74a0a7708119977ee86a2dc0ed37dd9aaa08c41f9a32b4ba5882"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4850",
    "kind": "arxiv",
    "version": 1
  }
}