Pith Number

pith:2J43NKO5

pith:2012:2J43NKO52MGQSI5BFTJWMXPBVU

not attested not anchored not stored refs pending

Gromov-Witten/Pairs correspondence for the quintic 3-fold

A. Pixton, R. Pandharipande

arxiv:1206.5490 v2 · 2012-06-24 · 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{2J43NKO52MGQSI5BFTJWMXPBVU}

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.

Cited by

1 paper in Pith

The Pandharipande-Thomas rationality conjecture for superpositive curve classes on projective complex 3-manifolds

Receipt and verification

First computed	2026-05-18T01:22:08.963688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d279b6a9ddd30d0923a12cd3665de1ad3b6e80b66cb4577e211646c7c5404832

Aliases

arxiv: 1206.5490 · arxiv_version: 1206.5490v2 · doi: 10.48550/arxiv.1206.5490 · pith_short_12: 2J43NKO52MGQ · pith_short_16: 2J43NKO52MGQSI5B · pith_short_8: 2J43NKO5

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/2J43NKO52MGQSI5BFTJWMXPBVU \
  | 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: d279b6a9ddd30d0923a12cd3665de1ad3b6e80b66cb4577e211646c7c5404832

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "412307a58e62ac8b3fa66298cc492e6f4230961859947833a052f5bb13288b53",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-06-24T13:26:29Z",
    "title_canon_sha256": "28c300e9868d30513066a80379a1c113dcd6559aa66a6ba2ea9166c9f7c56394"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5490",
    "kind": "arxiv",
    "version": 2
  }
}