Pith Number

pith:MNDZ5LOU

pith:2010:MNDZ5LOU5G3RSHRDW6Q3SQSK5C

not attested not anchored not stored refs pending

Heisenberg algebra and a graphical calculus

Mikhail Khovanov

arxiv:1009.3295 v1 · 2010-09-16 · 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{MNDZ5LOU5G3RSHRDW6Q3SQSK5C}

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.

Cited by

1 paper in Pith

A Graphical Calculus for Induction and Restriction on Temperley-Lieb Modules

Receipt and verification

First computed	2026-05-18T04:40:46.033499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63479eadd4e9b7191e23b7a1b9424ae8a90ed11fc332a5ce0c74df625ca82363

Aliases

arxiv: 1009.3295 · arxiv_version: 1009.3295v1 · doi: 10.48550/arxiv.1009.3295 · pith_short_12: MNDZ5LOU5G3R · pith_short_16: MNDZ5LOU5G3RSHRD · pith_short_8: MNDZ5LOU

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/MNDZ5LOU5G3RSHRDW6Q3SQSK5C \
  | 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: 63479eadd4e9b7191e23b7a1b9424ae8a90ed11fc332a5ce0c74df625ca82363

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfadf07f61ccff9edabcf2dbc91abc3504ade12c982581664c3f18d308cf130e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-09-16T22:32:04Z",
    "title_canon_sha256": "93ef4affe8e02a4ecb396b7196fcedb32fd8bfe3a59c99c7ef84ab2d378b28a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3295",
    "kind": "arxiv",
    "version": 1
  }
}