Pith Number

pith:26P5L7XA

pith:2012:26P5L7XABCPX5GSIJGRSRJ4VRF

not attested not anchored not stored refs pending

A Fock space approach to Severi degrees

Rahul Pandharipande, Yaim Cooper

arxiv:1210.8062 v2 · 2012-10-30 · 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{26P5L7XABCPX5GSIJGRSRJ4VRF}

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	2026-05-18T00:45:08.902746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d79fd5fee0089f7e9a4849a328a79589490b26cd634d7fd351a440cc97f8e6db

Aliases

arxiv: 1210.8062 · arxiv_version: 1210.8062v2 · doi: 10.48550/arxiv.1210.8062 · pith_short_12: 26P5L7XABCPX · pith_short_16: 26P5L7XABCPX5GSI · pith_short_8: 26P5L7XA

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/26P5L7XABCPX5GSIJGRSRJ4VRF \
  | 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: d79fd5fee0089f7e9a4849a328a79589490b26cd634d7fd351a440cc97f8e6db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01e09d170c4ab516d8adb65c881732e3209ee6b8702d0967fcbae00ad639ea5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-10-30T16:01:37Z",
    "title_canon_sha256": "f17fa627bef0c0d786a0b33ecb7e201f4103c57cae6c42b70821a569eaccf58b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.8062",
    "kind": "arxiv",
    "version": 2
  }
}