Pith Number

pith:32YC4F7M

pith:2012:32YC4F7MO52MLOKMRCYWAZXHOE

not attested not anchored not stored refs pending

Extensions of Picard 2-Stacks and the cohomology groups Ext^i of length 3 complexes

Ahmet Emin Tatar, Cristiana Bertolin

arxiv:1205.6308 v2 · 2012-05-29 · math.AG · 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{32YC4F7MO52MLOKMRCYWAZXHOE}

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	2026-05-18T03:00:37.514818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

deb02e17ec7774c5b94c88b16066e7712341e2678ba316d1290f33f250c104d1

Aliases

arxiv: 1205.6308 · arxiv_version: 1205.6308v2 · doi: 10.48550/arxiv.1205.6308 · pith_short_12: 32YC4F7MO52M · pith_short_16: 32YC4F7MO52MLOKM · pith_short_8: 32YC4F7M

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/32YC4F7MO52MLOKMRCYWAZXHOE \
  | 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: deb02e17ec7774c5b94c88b16066e7712341e2678ba316d1290f33f250c104d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a041ff9293b84ff39a16432043aaa45802adddb23c78aabd7f3b250d73b42f9a",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-05-29T09:20:29Z",
    "title_canon_sha256": "60805791d965f1d585aaaa104f6eece8162bd1beb3e57175453a59f9448d81ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6308",
    "kind": "arxiv",
    "version": 2
  }
}