Pith Number

pith:7QTDOIEC

pith:2011:7QTDOIECJKYAD2N2BXRRVWGN5C

not attested not anchored not stored refs pending

Derived Category of Fibrations

L. Costa, R.M. Mir\'o-Roig, S. Di Rocco

arxiv:1102.1956 v1 · 2011-02-09 · 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{7QTDOIECJKYAD2N2BXRRVWGN5C}

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	2026-05-18T04:29:43.957881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc263720824ab001e9ba0de31ad8cde8ae5b9470cbb248003c56da4b9ab050d3

Aliases

arxiv: 1102.1956 · arxiv_version: 1102.1956v1 · doi: 10.48550/arxiv.1102.1956 · pith_short_12: 7QTDOIECJKYA · pith_short_16: 7QTDOIECJKYAD2N2 · pith_short_8: 7QTDOIEC

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/7QTDOIECJKYAD2N2BXRRVWGN5C \
  | 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: fc263720824ab001e9ba0de31ad8cde8ae5b9470cbb248003c56da4b9ab050d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "273a26e14a8f8907daf2d0e57bdd12fe69a494d65403b754956b1df781140475",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-02-09T20:18:05Z",
    "title_canon_sha256": "b79bf7a38a4e854dba66ec6bd0bf369989f87532cbe627d970bf28a6e6c454ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1956",
    "kind": "arxiv",
    "version": 1
  }
}