Pith Number

pith:CBM5467Z

pith:2015:CBM5467ZX7XZK4CTYBKGME4GME

not attested not anchored not stored refs pending

Torsion and divisibility for reciprocity sheaves and 0-cycles with modulus

Federico Binda, Jin Cao, Rin Sugiyama, Wataru Kai

arxiv:1503.02161 v2 · 2015-03-07 · 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{CBM5467ZX7XZK4CTYBKGME4GME}

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	2026-05-18T01:14:18.219652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1059de7bf9bfef957053c05466138661097f96ecbb3be1e7c27770692af21abe

Aliases

arxiv: 1503.02161 · arxiv_version: 1503.02161v2 · doi: 10.48550/arxiv.1503.02161 · pith_short_12: CBM5467ZX7XZ · pith_short_16: CBM5467ZX7XZK4CT · pith_short_8: CBM5467Z

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/CBM5467ZX7XZK4CTYBKGME4GME \
  | 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: 1059de7bf9bfef957053c05466138661097f96ecbb3be1e7c27770692af21abe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0098772ba08d1fb8fd032dc034f184d08b08e6c986b6a83567d427e0243ffd6d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-03-07T11:06:35Z",
    "title_canon_sha256": "e6f8467d7f8e2bf244972c6ea06f3ad3c73adfa4e226f5e252ffc033b4ec128d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02161",
    "kind": "arxiv",
    "version": 2
  }
}