Pith Number

pith:62TEGJZX

pith:2013:62TEGJZXIT2AFON4SL3JNKY3B6

not attested not anchored not stored refs pending

On the Frobenius Manifolds for Cusp Singularities

Atsushi Takahashi, Yuuki Shiraishi

arxiv:1308.0105 v1 · 2013-08-01 · 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{62TEGJZXIT2AFON4SL3JNKY3B6}

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	2026-05-18T03:17:00.577507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6a643273744f402b9bc92f696ab1b0f8aaace0b076d5a86bc31bafd5e4d7adc

Aliases

arxiv: 1308.0105 · arxiv_version: 1308.0105v1 · doi: 10.48550/arxiv.1308.0105 · pith_short_12: 62TEGJZXIT2A · pith_short_16: 62TEGJZXIT2AFON4 · pith_short_8: 62TEGJZX

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/62TEGJZXIT2AFON4SL3JNKY3B6 \
  | 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: f6a643273744f402b9bc92f696ab1b0f8aaace0b076d5a86bc31bafd5e4d7adc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "972779f167b64ae645cb5a2704bcaf8ccd6c46c98abe35daa9d91ad799784066",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-08-01T06:12:56Z",
    "title_canon_sha256": "90e52b0e3bc13b4e5f4fb7d13e486056be7179982a0dbed986d524ded2cb4478"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0105",
    "kind": "arxiv",
    "version": 1
  }
}