Pith Number

pith:Y3VG7LMY

pith:2011:Y3VG7LMYHBY5FNPOFV2R464ZK4

not attested not anchored not stored refs pending

Biextensions of Picard stacks and their homological interpretation

Cristiana Bertolin

arxiv:1103.0723 v1 · 2011-03-03 · math.AG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y3VG7LMYHBY5FNPOFV2R464ZK4}

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	2026-05-18T03:42:12.025817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6ea6fad983871d2b5ee2d751e7b99572db099664251618c651149dac8aaff0e

Aliases

arxiv: 1103.0723 · arxiv_version: 1103.0723v1 · doi: 10.48550/arxiv.1103.0723 · pith_short_12: Y3VG7LMYHBY5 · pith_short_16: Y3VG7LMYHBY5FNPO · pith_short_8: Y3VG7LMY

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/Y3VG7LMYHBY5FNPOFV2R464ZK4 \
  | 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: c6ea6fad983871d2b5ee2d751e7b99572db099664251618c651149dac8aaff0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16ff9f7dc581ff70922f4e6959398ed1b8715f9a1a362508dcd6e16d6a1141b2",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-03-03T16:04:24Z",
    "title_canon_sha256": "18f571ae3ceaa66e4fc47c82f1c5e9d433d9a029cb8198c10c469220b292890a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0723",
    "kind": "arxiv",
    "version": 1
  }
}