Pith Number

pith:4SMZYFBN

pith:2012:4SMZYFBNAU222FH7DX6Z3N7NBP

not attested not anchored not stored refs pending

Gromov-Witten theory and cycle-valued modular forms

Todor MIlanov, Yefeng Shen, Yongbin Ruan

arxiv:1206.3879 v1 · 2012-06-18 · math.AG · hep-th · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4SMZYFBNAU222FH7DX6Z3N7NBP}

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	2026-05-18T03:53:18.549040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4999c142d0535ad14ff1dfd9db7ed0bd32d1fc5f79401a495bed2bdbdbc9a47

Aliases

arxiv: 1206.3879 · arxiv_version: 1206.3879v1 · doi: 10.48550/arxiv.1206.3879 · pith_short_12: 4SMZYFBNAU22 · pith_short_16: 4SMZYFBNAU222FH7 · pith_short_8: 4SMZYFBN

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/4SMZYFBNAU222FH7DX6Z3N7NBP \
  | 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: e4999c142d0535ad14ff1dfd9db7ed0bd32d1fc5f79401a495bed2bdbdbc9a47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a66cc36665e4b7196f54371129758720f3df714a3d3481dab0cd88e4e89d6d26",
    "cross_cats_sorted": [
      "hep-th",
      "math.CV"
    ],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-06-18T10:31:24Z",
    "title_canon_sha256": "f601e3ba6ac5e637bfb5f9ceac711733a31438c6921f98e322f7a8f466ecb9d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3879",
    "kind": "arxiv",
    "version": 1
  }
}