Pith Number

pith:AWSK2PA5

pith:2014:AWSK2PA55ZCFOT4YZM6EQIKWH4

not attested not anchored not stored refs pending

On the Refined Symplectic Sum Formula for Gromov-Witten Invariants

Aleksey Zinger, Mohammad F. Tehrani

arxiv:1412.8205 v1 · 2014-12-28 · 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{AWSK2PA55ZCFOT4YZM6EQIKWH4}

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	2026-05-18T02:30:23.815634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05a4ad3c1dee44574f98cb3c4821563f28d2c3e7454edae4c454308ea0e26935

Aliases

arxiv: 1412.8205 · arxiv_version: 1412.8205v1 · doi: 10.48550/arxiv.1412.8205 · pith_short_12: AWSK2PA55ZCF · pith_short_16: AWSK2PA55ZCFOT4Y · pith_short_8: AWSK2PA5

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/AWSK2PA55ZCFOT4YZM6EQIKWH4 \
  | 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: 05a4ad3c1dee44574f98cb3c4821563f28d2c3e7454edae4c454308ea0e26935

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ab4191ee2b18e31093f532d7ef352c57bd692e674a3c870795b02f8acff5110",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2014-12-28T20:05:24Z",
    "title_canon_sha256": "068eaba9b3d16ee8a1649565acfe9bb705b09e2ac530b701959aa854fed6e340"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8205",
    "kind": "arxiv",
    "version": 1
  }
}