Pith Number

pith:WJVTA3ZY

pith:2019:WJVTA3ZY6SUUQBU3LSEPJWYFD3

not attested not anchored not stored refs pending

Motives with modulus, I: Modulus sheaves with transfers for non-proper modulus pairs

Bruno Kahn, Hiroyasu Miyazaki, Shuji Saito, Takao Yamazaki

arxiv:1908.02975 v7 · 2019-08-08 · math.AG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WJVTA3ZY6SUUQBU3LSEPJWYFD3}

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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.

Cited by

1 paper in Pith

Voevodsky motives and motives with modulus in positive characteristic

Receipt and verification

First computed	2026-07-05T08:08:36.808235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b26b306f38f4a948069b5c88f4db051ec2abf67c2505e58b3b9f941a229092e4

Aliases

arxiv: 1908.02975 · arxiv_version: 1908.02975v7 · doi: 10.48550/arxiv.1908.02975 · pith_short_12: WJVTA3ZY6SUU · pith_short_16: WJVTA3ZY6SUUQBU3 · pith_short_8: WJVTA3ZY

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/WJVTA3ZY6SUUQBU3LSEPJWYFD3 \
  | 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: b26b306f38f4a948069b5c88f4db051ec2abf67c2505e58b3b9f941a229092e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f23b9908610e27f9dc39760ac09eb2d5549bf3a03b29a200557d3473d78c763d",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-08-08T08:43:52Z",
    "title_canon_sha256": "ca943377a56edfa5218e35c86da864883156fdef1fd5639dd877f35e5e177795"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02975",
    "kind": "arxiv",
    "version": 7
  }
}