Pith Number

pith:62ZYW3HA

pith:2011:62ZYW3HALIVEE6NAYH4OLSYHBQ

not attested not anchored not stored refs pending

Gromov-Witten invariants of stable maps with fields

Huai-Liang Chang, Jun Li

arxiv:1101.0914 v1 · 2011-01-05 · 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{62ZYW3HALIVEE6NAYH4OLSYHBQ}

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	2026-05-18T04:32:01.190008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6b38b6ce05a2a4279a0c1f8e5cb070c0f21db3764db4744c26897fef3858433

Aliases

arxiv: 1101.0914 · arxiv_version: 1101.0914v1 · doi: 10.48550/arxiv.1101.0914 · pith_short_12: 62ZYW3HALIVE · pith_short_16: 62ZYW3HALIVEE6NA · pith_short_8: 62ZYW3HA

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/62ZYW3HALIVEE6NAYH4OLSYHBQ \
  | 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: f6b38b6ce05a2a4279a0c1f8e5cb070c0f21db3764db4744c26897fef3858433

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc850082e158b58bf67d33d60cb7d474e1969c7f9cc61a7aeccea79732374515",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-01-05T09:22:15Z",
    "title_canon_sha256": "de8f5f3e486d149e251684bccb529e5b5c91bd64f51751671fe2432556054ca1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0914",
    "kind": "arxiv",
    "version": 1
  }
}