Pith Number

pith:7MCC3AZP

pith:2010:7MCC3AZPPAGACNE23FEMCHMK6R

not attested not anchored not stored refs pending

Ideal depth of QF extensions

Lars Kadison

arxiv:1012.1754 v1 · 2010-12-08 · math.RA · 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{7MCC3AZPPAGACNE23FEMCHMK6R}

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	2026-05-18T04:33:51.310578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb042d832f780c01349ad948c11d8af47afcec69a42e7a3056845fb6e6b4f7f4

Aliases

arxiv: 1012.1754 · arxiv_version: 1012.1754v1 · doi: 10.48550/arxiv.1012.1754 · pith_short_12: 7MCC3AZPPAGA · pith_short_16: 7MCC3AZPPAGACNE2 · pith_short_8: 7MCC3AZP

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/7MCC3AZPPAGACNE23FEMCHMK6R \
  | 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: fb042d832f780c01349ad948c11d8af47afcec69a42e7a3056845fb6e6b4f7f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78ed5294933102a8226c01d0fa63f2c595f01bf5996840c2b0edbc294081a883",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-12-08T13:10:29Z",
    "title_canon_sha256": "654efe57997fd7c23e3610818899ceb3e4c40521aaab2e9bcf014fd04a8b1d94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1754",
    "kind": "arxiv",
    "version": 1
  }
}