Pith Number

pith:O2JBHNNW

pith:2014:O2JBHNNWGFPTUCWXCEZZALGAIK

not attested not anchored not stored refs pending

Operator-Valued Frames for the Heisenberg Group

Benjamin Robinson, Douglas Cochran, Stephen D. Howard, William Moran

arxiv:1409.7773 v1 · 2014-09-27 · 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{O2JBHNNWGFPTUCWXCEZZALGAIK}

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	2026-05-18T02:41:40.665225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

769213b5b6315f3a0ad71133902cc04291afc0a5fffa5fb68315da5c0eec3584

Aliases

arxiv: 1409.7773 · arxiv_version: 1409.7773v1 · doi: 10.48550/arxiv.1409.7773 · pith_short_12: O2JBHNNWGFPT · pith_short_16: O2JBHNNWGFPTUCWX · pith_short_8: O2JBHNNW

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/O2JBHNNWGFPTUCWXCEZZALGAIK \
  | 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: 769213b5b6315f3a0ad71133902cc04291afc0a5fffa5fb68315da5c0eec3584

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be050bd4cebd67e2e7d409f0fdcbd4195987d065a88cb08593b07718d2516b89",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-09-27T06:46:03Z",
    "title_canon_sha256": "2c09400b53ac3619e062d22df570e808cd61c00570c5cc550a2a8e804f3647c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7773",
    "kind": "arxiv",
    "version": 1
  }
}