Pith Number

pith:XZSQDEO5

pith:2012:XZSQDEO5AZ7N6QXUXPEHFZEGRH

not attested not anchored not stored refs pending

Gromov-Witten/Pairs descendent correspondence for toric 3-folds

A. Pixton, R. Pandharipande

arxiv:1203.0468 v2 · 2012-03-02 · 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{XZSQDEO5AZ7N6QXUXPEHFZEGRH}

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	2026-05-18T02:31:12.385208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be650191dd067edf42f4bbc872e48689dd4501f00992cacbe3320a52abc74a67

Aliases

arxiv: 1203.0468 · arxiv_version: 1203.0468v2 · doi: 10.48550/arxiv.1203.0468 · pith_short_12: XZSQDEO5AZ7N · pith_short_16: XZSQDEO5AZ7N6QXU · pith_short_8: XZSQDEO5

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/XZSQDEO5AZ7N6QXUXPEHFZEGRH \
  | 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: be650191dd067edf42f4bbc872e48689dd4501f00992cacbe3320a52abc74a67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04539c4f3bd45333e420532c4f4005609bcb5ca6689d8c6f9f336412b10eff63",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-03-02T14:10:33Z",
    "title_canon_sha256": "e73eb67f9012fe12015461c472d4779eb0a09325bf9e81d3c659984fac47d8ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0468",
    "kind": "arxiv",
    "version": 2
  }
}