Pith Number

pith:LQWWQWZ7

pith:2005:LQWWQWZ7XAS5EN56TTIQRGLCFN

not attested not anchored not stored refs pending

Characteristic 0 and p analogies, and some motivic cohomology

H\'el\`ene Esnault, Kay R\"ulling, Manuel Blickle

arxiv:math/0512190 v1 · 2005-12-09 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LQWWQWZ7XAS5EN56TTIQRGLCFN}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:15:07.721913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c2d685b3fb825d237be9cd10899622b6ba46e8dbbf33df9ebf30d680fe8a1e1

Aliases

arxiv: math/0512190 · arxiv_version: math/0512190v1 · doi: 10.48550/arxiv.math/0512190 · pith_short_12: LQWWQWZ7XAS5 · pith_short_16: LQWWQWZ7XAS5EN56 · pith_short_8: LQWWQWZ7

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/LQWWQWZ7XAS5EN56TTIQRGLCFN \
  | 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: 5c2d685b3fb825d237be9cd10899622b6ba46e8dbbf33df9ebf30d680fe8a1e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d9c2f26d1390c9d2a46dfda1483cda1c62cc8423a8e55324e797705fce56365",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2005-12-09T10:56:13Z",
    "title_canon_sha256": "c6a9882c3263b6c56d14cd6a2773eba2bd12a8209aafc619d2aeb3d6ce786c60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0512190",
    "kind": "arxiv",
    "version": 1
  }
}