Pith Number

pith:7M3FGR7O

pith:2014:7M3FGR7OH744EZ3CJ6LVL72SOL

not attested not anchored not stored refs pending

Blow-up formulae of high genus Gromov-Witten invariants in dimensional six

Hua-Zhong Ke, Jianxun Hu, Weiqiang He, Xiaoxia Qi

arxiv:1402.4221 v2 · 2014-02-18 · math.AG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7M3FGR7OH744EZ3CJ6LVL72SOL}

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	2026-05-18T02:47:07.530572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb365347ee3ff9c267624f9755ff5272d112aba75eddd1490aa32eb1c09e04a8

Aliases

arxiv: 1402.4221 · arxiv_version: 1402.4221v2 · doi: 10.48550/arxiv.1402.4221 · pith_short_12: 7M3FGR7OH744 · pith_short_16: 7M3FGR7OH744EZ3C · pith_short_8: 7M3FGR7O

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/7M3FGR7OH744EZ3CJ6LVL72SOL \
  | 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: fb365347ee3ff9c267624f9755ff5272d112aba75eddd1490aa32eb1c09e04a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cacbcce2d47d79b2d084ab7718ccc8328b3c3366761d302ea18b25d4a0bd214a",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-02-18T03:53:13Z",
    "title_canon_sha256": "c828843750b567589f897a674b0b655a66a137ffd9ff76c699373c324cb9cf24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.4221",
    "kind": "arxiv",
    "version": 2
  }
}