Pith Number

pith:ZQBKJHKA

pith:2015:ZQBKJHKAS7PHGITZFZ3G3GS3SE

not attested not anchored not stored refs pending

Picard groups, weight structures, and (noncommutative) mixed motives

Goncalo Tabuada, Mikhail Bondarko

arxiv:1512.09101 v2 · 2015-12-30 · math.AG · math.AT · math.CT · math.KT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZQBKJHKAS7PHGITZFZ3G3GS3SE}

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	2026-05-18T01:23:28.469965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc02a49d4097de7322792e766d9a5b911bd611ca689ffea0fee4f51d4c955403

Aliases

arxiv: 1512.09101 · arxiv_version: 1512.09101v2 · doi: 10.48550/arxiv.1512.09101 · pith_short_12: ZQBKJHKAS7PH · pith_short_16: ZQBKJHKAS7PHGITZ · pith_short_8: ZQBKJHKA

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/ZQBKJHKAS7PHGITZFZ3G3GS3SE \
  | 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: cc02a49d4097de7322792e766d9a5b911bd611ca689ffea0fee4f51d4c955403

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1141c3ce5f1160d5478b48b700f0973eec8dbd8709f91ec7716d84b55e6d7e1b",
    "cross_cats_sorted": [
      "math.AT",
      "math.CT",
      "math.KT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-12-30T20:22:30Z",
    "title_canon_sha256": "27f3bda4fc6e21080cecf0369e5d62205e66bcc263cd0f4479e0e45d040fe255"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.09101",
    "kind": "arxiv",
    "version": 2
  }
}