Pith Number

pith:TRYJUEUR

pith:2018:TRYJUEURFMZ34NYQFPSEKENKRO

not attested not anchored not stored refs pending

Structures in genus-zero relative Gromov--Witten theory

Fenglong You, Honglu Fan, Longting Wu

arxiv:1810.06952 v6 · 2018-10-16 · 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{TRYJUEURFMZ34NYQFPSEKENKRO}

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	2026-07-05T00:19:06.285980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c709a12912b33be37102be44511aa8bbe5809e1fb45b7feaf741284ce8ff545

Aliases

arxiv: 1810.06952 · arxiv_version: 1810.06952v6 · doi: 10.48550/arxiv.1810.06952 · pith_short_12: TRYJUEURFMZ3 · pith_short_16: TRYJUEURFMZ34NYQ · pith_short_8: TRYJUEUR

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/TRYJUEURFMZ34NYQFPSEKENKRO \
  | 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: 9c709a12912b33be37102be44511aa8bbe5809e1fb45b7feaf741284ce8ff545

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c7f5dd1453756ee7f907d29cceaeb6ec07a2fb3e85ffc680988f8ce98f66096",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-10-16T12:26:06Z",
    "title_canon_sha256": "6acca1830977ec1c55932f09a7ced18558eb3442fa968f1143add746787718bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.06952",
    "kind": "arxiv",
    "version": 6
  }
}