Pith Number

pith:T7JUPSPF

pith:2018:T7JUPSPFWXKKODJFTYUDDMN3D7

not attested not anchored not stored refs pending

Lecture Notes on Relative Gromov-Witten Invariants

An-Min Li, Li Sheng

arxiv:1807.07440 v2 · 2018-07-18 · 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{T7JUPSPFWXKKODJFTYUDDMN3D7}

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	2026-05-18T00:10:09.700160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fd347c9e5b5d4a70d259e2831b1bb1fca21c16f60e9f8ccc9788989a72e2a23

Aliases

arxiv: 1807.07440 · arxiv_version: 1807.07440v2 · doi: 10.48550/arxiv.1807.07440 · pith_short_12: T7JUPSPFWXKK · pith_short_16: T7JUPSPFWXKKODJF · pith_short_8: T7JUPSPF

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/T7JUPSPFWXKKODJFTYUDDMN3D7 \
  | 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: 9fd347c9e5b5d4a70d259e2831b1bb1fca21c16f60e9f8ccc9788989a72e2a23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "707c4326abb6ed1673e7d5107d4298e00e08334b2c394c0a4513877584ee25f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2018-07-18T10:20:36Z",
    "title_canon_sha256": "f8197d1f756f909d0f649c1466a828a9afbdc1566e63bdfe6e16fb4efb7ca49a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.07440",
    "kind": "arxiv",
    "version": 2
  }
}