Pith Number

pith:PZN2W6FQ

pith:2014:PZN2W6FQY2A25M4Q4FZ7OURFAL

not attested not anchored not stored refs pending

Remark on symplectic relative Gromov-Witten invariants and degeneration formula

An-Min Li

arxiv:1405.3825 v1 · 2014-05-15 · 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{PZN2W6FQY2A25M4Q4FZ7OURFAL}

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	2026-05-18T02:51:41.238350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e5bab78b0c681aeb390e173f7522502ed26d8aabff7146e6789a2199f8b6115

Aliases

arxiv: 1405.3825 · arxiv_version: 1405.3825v1 · doi: 10.48550/arxiv.1405.3825 · pith_short_12: PZN2W6FQY2A2 · pith_short_16: PZN2W6FQY2A25M4Q · pith_short_8: PZN2W6FQ

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/PZN2W6FQY2A25M4Q4FZ7OURFAL \
  | 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: 7e5bab78b0c681aeb390e173f7522502ed26d8aabff7146e6789a2199f8b6115

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62bfb111db6f13bffa10739c4c421a0df873e104a2541039567fc6ac0888f9bd",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2014-05-15T12:55:07Z",
    "title_canon_sha256": "798a9dae8e12c4689ed2fe99d1432836b2c7bb6c03707277e80d6bb256cfe6ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.3825",
    "kind": "arxiv",
    "version": 1
  }
}