Pith Number

pith:K4CBYXLO

pith:2011:K4CBYXLOQFOWOMKCN4FNRVAVMD

not attested not anchored not stored refs pending

Upper motives of products of projective linear groups

Charles De Clercq

arxiv:1110.0391 v2 · 2011-10-03 · 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{K4CBYXLOQFOWOMKCN4FNRVAVMD}

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	2026-05-18T04:05:57.375747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57041c5d6e815d6731426f0ad8d41560c4281a190226e1bc56641b42f5628bb3

Aliases

arxiv: 1110.0391 · arxiv_version: 1110.0391v2 · doi: 10.48550/arxiv.1110.0391 · pith_short_12: K4CBYXLOQFOW · pith_short_16: K4CBYXLOQFOWOMKC · pith_short_8: K4CBYXLO

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/K4CBYXLOQFOWOMKCN4FNRVAVMD \
  | 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: 57041c5d6e815d6731426f0ad8d41560c4281a190226e1bc56641b42f5628bb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1a7e6811fd1b39784416562b665a9ef9c2dc10fef7a0ba1eb47f89c01df7f24",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-10-03T15:53:11Z",
    "title_canon_sha256": "4bb1e6ef5a810a4e68d3169f6fd3c5b8f1b3ef67e8d349c54237d5553f58ebae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0391",
    "kind": "arxiv",
    "version": 2
  }
}