Pith Number

pith:MI3XROX3

pith:2010:MI3XROX3GOWRCILQJZ4XTUWXXF

not attested not anchored not stored refs pending

The closure of a sheet is not always a union of sheets

Michael Bulois

arxiv:1011.5045 v1 · 2010-11-23 · 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{MI3XROX3GOWRCILQJZ4XTUWXXF}

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	2026-05-18T04:34:54.855789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

623778bafb33ad1121704e7979d2d7b95b1a92e9e3a9adfe0e876574d16b8044

Aliases

arxiv: 1011.5045 · arxiv_version: 1011.5045v1 · doi: 10.48550/arxiv.1011.5045 · pith_short_12: MI3XROX3GOWR · pith_short_16: MI3XROX3GOWRCILQ · pith_short_8: MI3XROX3

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/MI3XROX3GOWRCILQJZ4XTUWXXF \
  | 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: 623778bafb33ad1121704e7979d2d7b95b1a92e9e3a9adfe0e876574d16b8044

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75043114a9e1b5290a4fd01a24550c0ec2feea5e483feb4de36f9f474c698c65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-11-23T10:05:56Z",
    "title_canon_sha256": "238dda61a876ee885b68e98e1aecfa4941f9eab698e61f413bd5501b68130fb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5045",
    "kind": "arxiv",
    "version": 1
  }
}