Pith Number

pith:JD3INRXG

pith:2016:JD3INRXGG5UD4NZAAPVOWYMCJR

not attested not anchored not stored refs pending

A calculus for the moduli space of curves

R. Pandharipande

arxiv:1603.05151 v2 · 2016-03-16 · 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{JD3INRXGG5UD4NZAAPVOWYMCJR}

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	2026-05-18T01:17:49.950949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48f686c6e637683e372003eaeb61824c757ebe192e5882367deedd67e8413b2f

Aliases

arxiv: 1603.05151 · arxiv_version: 1603.05151v2 · doi: 10.48550/arxiv.1603.05151 · pith_short_12: JD3INRXGG5UD · pith_short_16: JD3INRXGG5UD4NZA · pith_short_8: JD3INRXG

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/JD3INRXGG5UD4NZAAPVOWYMCJR \
  | 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: 48f686c6e637683e372003eaeb61824c757ebe192e5882367deedd67e8413b2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e361255030b077f76ecb931b58e2063f1373a581b2e494f7b40540aaab97d23a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-03-16T15:49:11Z",
    "title_canon_sha256": "5b7bff335c3ec18f616cf0ad3041aaf9fa7b18a179b8c204c780ab8a9614fd67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.05151",
    "kind": "arxiv",
    "version": 2
  }
}