Pith Number

pith:FHEL6PBW

pith:2010:FHEL6PBWUOGBFCFZMJOM3MML3W

not attested not anchored not stored refs pending

On the pre-lambda ring structure on the Grothendieck ring of stacks and the power structures over it

A. Melle Hernandez, I. Luengo, S.M. Gusein-Zade

arxiv:1008.5063 v2 · 2010-08-30 · 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{FHEL6PBWUOGBFCFZMJOM3MML3W}

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	2026-05-18T04:27:06.786942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29c8bf3c36a38c1288b9625ccdb18bdda078b6fc8d60c0c578407f432ad69e37

Aliases

arxiv: 1008.5063 · arxiv_version: 1008.5063v2 · doi: 10.48550/arxiv.1008.5063 · pith_short_12: FHEL6PBWUOGB · pith_short_16: FHEL6PBWUOGBFCFZ · pith_short_8: FHEL6PBW

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/FHEL6PBWUOGBFCFZMJOM3MML3W \
  | 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: 29c8bf3c36a38c1288b9625ccdb18bdda078b6fc8d60c0c578407f432ad69e37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80e62b32f90374e8371100c4d41fc27a07c6be457eefb646b1c8e0633bec2f0f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-08-30T12:03:30Z",
    "title_canon_sha256": "6b7b74f54ae79ec92d1dfec0254f14dd249879e82ff864f9653feda05d220f74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.5063",
    "kind": "arxiv",
    "version": 2
  }
}