Pith Number

pith:ML4O66XT

pith:2011:ML4O66XTJISH2UL3HJGDQNACIP

not attested not anchored not stored refs pending

Algebraic tori as Nisnevich sheaves with transfers

Bruno Kahn (IMJ)

arxiv:1107.4938 v2 · 2011-07-25 · 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{ML4O66XTJISH2UL3HJGDQNACIP}

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	2026-05-18T02:28:13.679401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62f8ef7af34a247d517b3a4c38340243fffbb5b6400ddce52a4cffe9f5a2a427

Aliases

arxiv: 1107.4938 · arxiv_version: 1107.4938v2 · doi: 10.48550/arxiv.1107.4938 · pith_short_12: ML4O66XTJISH · pith_short_16: ML4O66XTJISH2UL3 · pith_short_8: ML4O66XT

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/ML4O66XTJISH2UL3HJGDQNACIP \
  | 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: 62f8ef7af34a247d517b3a4c38340243fffbb5b6400ddce52a4cffe9f5a2a427

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69a08a8d16a9782714995424ecd85fb4c150a8c8872e7153a9254f8ccd16f07e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-07-25T13:15:02Z",
    "title_canon_sha256": "033de99787aff681fb33f4d91beb6a0e6b797766aef1093da0f7346d6197c46d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4938",
    "kind": "arxiv",
    "version": 2
  }
}