Pith Number

pith:FOBSQ7V4

pith:2011:FOBSQ7V426LKC7UK6HIRG5QR2I

not attested not anchored not stored refs pending

A planar calculus for infinite index subfactors

David Penneys

arxiv:1110.3504 v1 · 2011-10-16 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FOBSQ7V426LKC7UK6HIRG5QR2I}

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	2026-05-18T02:00:11.821095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b83287ebcd796a17e8af1d1137611d202633ce7770149cfbc2d47ca039cb772

Aliases

arxiv: 1110.3504 · arxiv_version: 1110.3504v1 · doi: 10.48550/arxiv.1110.3504 · pith_short_12: FOBSQ7V426LK · pith_short_16: FOBSQ7V426LKC7UK · pith_short_8: FOBSQ7V4

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/FOBSQ7V426LKC7UK6HIRG5QR2I \
  | 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: 2b83287ebcd796a17e8af1d1137611d202633ce7770149cfbc2d47ca039cb772

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fccf37c67a7941d39ad8de824424aaf74fab74b9bd85d02d2c68f59825ef99f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-10-16T17:04:59Z",
    "title_canon_sha256": "0080deba08826123a5284097852b42ea2474d3750e729e1a3d594449c38cfd53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3504",
    "kind": "arxiv",
    "version": 1
  }
}