Pith Number

pith:3M4GEORJ

pith:2017:3M4GEORJNMCJODJGHQII6IYPLY

not attested not anchored not stored refs pending

Reciprocity sheaves, II

Bruno Kahn, Shuji Saito, Takao Yamazaki

arxiv:1707.07398 v7 · 2017-07-24 · 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{3M4GEORJNMCJODJGHQII6IYPLY}

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.

Cited by

1 paper in Pith

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

Receipt and verification

First computed	2026-07-05T05:42:45.473006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db38623a296b04970d263c108f230f5e37c3a7b06cca275c66c95a52d0c52e89

Aliases

arxiv: 1707.07398 · arxiv_version: 1707.07398v7 · doi: 10.48550/arxiv.1707.07398 · pith_short_12: 3M4GEORJNMCJ · pith_short_16: 3M4GEORJNMCJODJG · pith_short_8: 3M4GEORJ

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/3M4GEORJNMCJODJGHQII6IYPLY \
  | 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: db38623a296b04970d263c108f230f5e37c3a7b06cca275c66c95a52d0c52e89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c21c26373d2a323ae95af1698d8a7b2501f6e265cfc73662b5579a17427c151",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-07-24T04:21:11Z",
    "title_canon_sha256": "7b2a6bf89b602e5405f8b402bd74ed35f81cc4fce89ac25a02cc1bf5c35e5b16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.07398",
    "kind": "arxiv",
    "version": 7
  }
}