Pith Number

pith:WC7QVCZT

pith:2013:WC7QVCZTIVMQFE2PVF6ALOZKA3

not attested not anchored not stored refs pending

Descent for algebraic cobordism

Jos\'e Luis Gonz\'alez, Kalle Karu

arxiv:1301.3292 v1 · 2013-01-15 · 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{WC7QVCZTIVMQFE2PVF6ALOZKA3}

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	2026-05-18T03:36:25.944781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0bf0a8b33455902934fa97c05bb2a06fef2e01d46fa93e5752e0b8a83ffa3db

Aliases

arxiv: 1301.3292 · arxiv_version: 1301.3292v1 · doi: 10.48550/arxiv.1301.3292 · pith_short_12: WC7QVCZTIVMQ · pith_short_16: WC7QVCZTIVMQFE2P · pith_short_8: WC7QVCZT

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/WC7QVCZTIVMQFE2PVF6ALOZKA3 \
  | 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: b0bf0a8b33455902934fa97c05bb2a06fef2e01d46fa93e5752e0b8a83ffa3db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a4d6d50bd2d12bc4fb32760adb0bd0ec09207bc9782860f6fdd5b87ca5e809c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-01-15T10:23:49Z",
    "title_canon_sha256": "b01c4ca461d4c5ffc46298e8ac4885645b0b5bd2e56ca639c718b54ccd3c133d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.3292",
    "kind": "arxiv",
    "version": 1
  }
}