Pith Number

pith:MLMN4GVB

pith:2013:MLMN4GVB2THS6XZI3MLFYDZGAG

not attested not anchored not stored refs pending

On tilted Giraud subcategories

Francesco Mattiello, Luisa Fiorot, Riccardo Colpi

arxiv:1307.1987 v2 · 2013-07-08 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MLMN4GVB2THS6XZI3MLFYDZGAG}

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	2026-05-18T02:28:55.337824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62d8de1aa1d4cf2f5f28db165c0f2601a6f12b0525ff65caf8820424ca63a64c

Aliases

arxiv: 1307.1987 · arxiv_version: 1307.1987v2 · doi: 10.48550/arxiv.1307.1987 · pith_short_12: MLMN4GVB2THS · pith_short_16: MLMN4GVB2THS6XZI · pith_short_8: MLMN4GVB

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/MLMN4GVB2THS6XZI3MLFYDZGAG \
  | 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: 62d8de1aa1d4cf2f5f28db165c0f2601a6f12b0525ff65caf8820424ca63a64c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "680828fec6bb32e53a33229db04f562ba246958300dec8180d9edf84190b9c76",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2013-07-08T09:01:50Z",
    "title_canon_sha256": "664ee0dc26f064d8de2f41872718a819bf494b2748f3089a5cb00c733f90c9a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1987",
    "kind": "arxiv",
    "version": 2
  }
}