Pith Number

pith:NDQM2FA4

pith:2015:NDQM2FA4FDZK2DUOVFRO2L4TUN

not attested not anchored not stored refs pending

Motives with modulus

Bruno Kahn, Shuji Saito, Takao Yamazaki

arxiv:1511.07124 v6 · 2015-11-23 · math.AG · math.KT · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NDQM2FA4FDZK2DUOVFRO2L4TUN}

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	2026-05-17T23:52:19.296575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68e0cd141c28f2ad0e8ea962ed2f93a3570ab7aef2c0433d89438225b1093623

Aliases

arxiv: 1511.07124 · arxiv_version: 1511.07124v6 · doi: 10.48550/arxiv.1511.07124 · pith_short_12: NDQM2FA4FDZK · pith_short_16: NDQM2FA4FDZK2DUO · pith_short_8: NDQM2FA4

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/NDQM2FA4FDZK2DUOVFRO2L4TUN \
  | 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: 68e0cd141c28f2ad0e8ea962ed2f93a3570ab7aef2c0433d89438225b1093623

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbdc8655c1d9fb79950f215a0bc3eb38bdeda89c2a6a9435762c6da0886e1c1d",
    "cross_cats_sorted": [
      "math.KT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-11-23T07:44:21Z",
    "title_canon_sha256": "68c9658bc95d2c68fd821c50acfffa45d6f2c9e44015301aba026d99c904d8c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07124",
    "kind": "arxiv",
    "version": 6
  }
}