Pith Number

pith:MKMQSFGU

pith:2024:MKMQSFGUIK3NH5ULV6EYDJEYYK

not attested not anchored not stored refs pending

Gromov-Witten invariants in family and quantum cohomology

Anantadulal Paul, Indranil Biswas, Jeongseok Oh, Nilkantha Das

arxiv:2408.06616 v2 · 2024-08-13 · 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{MKMQSFGUIK3NH5ULV6EYDJEYYK}

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	2026-07-05T11:18:13.780419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62990914d442b6d3f68baf8981a498c2a681ce04f5bd575cd378d1be74bb220b

Aliases

arxiv: 2408.06616 · arxiv_version: 2408.06616v2 · doi: 10.48550/arxiv.2408.06616 · pith_short_12: MKMQSFGUIK3N · pith_short_16: MKMQSFGUIK3NH5UL · pith_short_8: MKMQSFGU

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/MKMQSFGUIK3NH5ULV6EYDJEYYK \
  | 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: 62990914d442b6d3f68baf8981a498c2a681ce04f5bd575cd378d1be74bb220b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14c7fd0ae3b6ccd3707737d8126e0bda337671920c3a78a4394a5318d4268f86",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-08-13T04:06:13Z",
    "title_canon_sha256": "53eae96f6994e37b381ce63be723ada42b66140031a9b02c88d1a1b20e2f98c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.06616",
    "kind": "arxiv",
    "version": 2
  }
}