Pith Number

pith:NDQG3KV5

pith:2012:NDQG3KV5J26HWZFY2KNQUPP4ZX

not attested not anchored not stored refs pending

The Categorified Heisenberg Algebra I: A Combinatorial Representation

Jamie Vicary, Jeffrey C. Morton

arxiv:1207.2054 v2 · 2012-07-09 · math.QA · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NDQG3KV5J26HWZFY2KNQUPP4ZX}

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	2026-05-18T03:07:21.023485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68e06daabd4ebc7b64b8d29b0a3dfccdff2a327345482f1ae538fd97bdec8a37

Aliases

arxiv: 1207.2054 · arxiv_version: 1207.2054v2 · doi: 10.48550/arxiv.1207.2054 · pith_short_12: NDQG3KV5J26H · pith_short_16: NDQG3KV5J26HWZFY · pith_short_8: NDQG3KV5

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/NDQG3KV5J26HWZFY2KNQUPP4ZX \
  | 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: 68e06daabd4ebc7b64b8d29b0a3dfccdff2a327345482f1ae538fd97bdec8a37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "120bcd12edf365c1e585ac45faffc02b6585e6e95248076d172b87eb2eea55d8",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-07-09T14:11:38Z",
    "title_canon_sha256": "036f27d119e2a81ee5ae46cacb909290a260aaecd6b1947e206849a99d8c26b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2054",
    "kind": "arxiv",
    "version": 2
  }
}