Pith Number

pith:TMCRFQDC

pith:2013:TMCRFQDCZRKQPXLXECQG2OIW7X

not attested not anchored not stored refs pending

A natural Gromov-Witten virtual fundamental class

Eleny-Nicoleta Ionel, Thomas H. Parker

arxiv:1302.3472 v3 · 2013-02-14 · 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{TMCRFQDCZRKQPXLXECQG2OIW7X}

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	2026-05-18T01:30:01.400433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b0512c062cc5507dd7720a06d3916fdcf31ea195e32d4e8b2dc38bd3b6104e6

Aliases

arxiv: 1302.3472 · arxiv_version: 1302.3472v3 · doi: 10.48550/arxiv.1302.3472 · pith_short_12: TMCRFQDCZRKQ · pith_short_16: TMCRFQDCZRKQPXLX · pith_short_8: TMCRFQDC

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/TMCRFQDCZRKQPXLXECQG2OIW7X \
  | 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: 9b0512c062cc5507dd7720a06d3916fdcf31ea195e32d4e8b2dc38bd3b6104e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92594be93f11c4e03a21cae0b752dae4748ef7055196f27253b9447f3e9b66ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2013-02-14T17:02:02Z",
    "title_canon_sha256": "8246d5928e0fa02c23576c6d1f98009f3eb4986458685aa4d2165f7b1e81cc6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3472",
    "kind": "arxiv",
    "version": 3
  }
}