Pith Number

pith:MTLWLF6T

pith:2012:MTLWLF6TKF5RIFL227GJWDDU2N

not attested not anchored not stored refs pending

Frobenius structures on double Hurwitz spaces

Stefano Romano

arxiv:1210.2312 v1 · 2012-10-08 · math-ph · math.AG · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MTLWLF6TKF5RIFL227GJWDDU2N}

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	2026-05-18T03:43:43.100402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64d76597d3517b14157ad7cc9b0c74d3716a9bcbf94ad7461c06f24772a6fb6d

Aliases

arxiv: 1210.2312 · arxiv_version: 1210.2312v1 · doi: 10.48550/arxiv.1210.2312 · pith_short_12: MTLWLF6TKF5R · pith_short_16: MTLWLF6TKF5RIFL2 · pith_short_8: MTLWLF6T

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/MTLWLF6TKF5RIFL227GJWDDU2N \
  | 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: 64d76597d3517b14157ad7cc9b0c74d3716a9bcbf94ad7461c06f24772a6fb6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af6c6f5b6980666300d0b6502f6125a5b7a596e75c81814fac03bb03c63cd3f5",
    "cross_cats_sorted": [
      "math.AG",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-10-08T15:37:38Z",
    "title_canon_sha256": "5ccc52c6d62958e0faa5706c187082addc73569e0b5b297f7085dde1fcfc08e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2312",
    "kind": "arxiv",
    "version": 1
  }
}