Pith Number

pith:ZCLTC7NA

pith:2010:ZCLTC7NAKC7XR4ZUHG6P5WBPTR

not attested not anchored not stored refs pending

Curves on K3 surfaces and modular forms

D. Maulik, R. Pandharipande, R. P. Thomas

arxiv:1001.2719 v4 · 2010-01-15 · math.AG · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZCLTC7NAKC7XR4ZUHG6P5WBPTR}

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	2026-05-18T02:45:49.915160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c897317da050bf78f33439bcfed82f9c51734e669ab459f0b7e3951c687cefdc

Aliases

arxiv: 1001.2719 · arxiv_version: 1001.2719v4 · doi: 10.48550/arxiv.1001.2719 · pith_short_12: ZCLTC7NAKC7X · pith_short_16: ZCLTC7NAKC7XR4ZU · pith_short_8: ZCLTC7NA

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/ZCLTC7NAKC7XR4ZUHG6P5WBPTR \
  | 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: c897317da050bf78f33439bcfed82f9c51734e669ab459f0b7e3951c687cefdc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16a3599974084352f1d714df9eca53bafd517c59db32e559913d3c3ff58f67c9",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-01-15T15:49:12Z",
    "title_canon_sha256": "4f0f64da7e763c13fd54ef82cf7c31ad817ac9bf4dd7aa32b7a7b4c70085bd47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.2719",
    "kind": "arxiv",
    "version": 4
  }
}