Pith Number

pith:2RVXCQND

pith:2010:2RVXCQNDKXXNYORDGXN5AOQXQ5

not attested not anchored not stored refs pending

Extensions of Picard stacks and their homological interpretation

Cristiana Bertolin

arxiv:1003.1866 v2 · 2010-03-09 · 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{2RVXCQNDKXXNYORDGXN5AOQXQ5}

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	2026-05-18T04:27:47.709734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d46b7141a355eedc3a2335dbd03a178744d15b1f7746075632a79665190275db

Aliases

arxiv: 1003.1866 · arxiv_version: 1003.1866v2 · doi: 10.48550/arxiv.1003.1866 · pith_short_12: 2RVXCQNDKXXN · pith_short_16: 2RVXCQNDKXXNYORD · pith_short_8: 2RVXCQND

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/2RVXCQNDKXXNYORDGXN5AOQXQ5 \
  | 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: d46b7141a355eedc3a2335dbd03a178744d15b1f7746075632a79665190275db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb2f3c8eca30d70700c1b3f81636e057077a481c17318a1199f38625b9e63d21",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-03-09T13:20:04Z",
    "title_canon_sha256": "36a84fcf8342bbb71200b7484f91baf75a8cbabdb4bb0d0d29360cc944b7dce5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.1866",
    "kind": "arxiv",
    "version": 2
  }
}