Pith Number

pith:Z2MRYPUW

pith:2014:Z2MRYPUWR4UVST34ZC35NL3TQQ

not attested not anchored not stored refs pending

On Symplectic Sum Formulas in Gromov-Witten Theory

Aleksey Zinger, Mohammad F. Tehrani

arxiv:1404.1898 v2 · 2014-04-07 · math.SG · 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{Z2MRYPUWR4UVST34ZC35NL3TQQ}

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	2026-05-18T02:30:32.075108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce991c3e968f29594f7cc8b7d6af73843c4b1a7feaadd37cdc0d419c8ba53c09

Aliases

arxiv: 1404.1898 · arxiv_version: 1404.1898v2 · doi: 10.48550/arxiv.1404.1898 · pith_short_12: Z2MRYPUWR4UV · pith_short_16: Z2MRYPUWR4UVST34 · pith_short_8: Z2MRYPUW

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/Z2MRYPUWR4UVST34ZC35NL3TQQ \
  | 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: ce991c3e968f29594f7cc8b7d6af73843c4b1a7feaadd37cdc0d419c8ba53c09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20cf85082ce969fe9050034774d6b147b9c552c07269ffcb165fecc2b85fc24e",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2014-04-07T19:29:58Z",
    "title_canon_sha256": "3ef6124f0d8cf06c57e5b427a296949c7462eae2db870a5c4907cc7246a5408b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.1898",
    "kind": "arxiv",
    "version": 2
  }
}