Pith Number

pith:TBH326X4

pith:2011:TBH326X4TNJV434YZLIC63QRVC

not attested not anchored not stored refs pending

Partition Functions of Normal Factor Graphs

G. David Forney, Jr., Pascal O. Vontobel

arxiv:1102.0316 v1 · 2011-02-01 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TBH326X4TNJV434YZLIC63QRVC}

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

Error Resilience of Fracton Codes and Near Saturation of Code-Capacity Threshold in Three Dimensions

Receipt and verification

First computed	2026-05-18T03:48:00.873633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

984fbd7afc9b535e6f98cad02f6e11a89d34321e41ee1b6b153083eedd9a6d7b

Aliases

arxiv: 1102.0316 · arxiv_version: 1102.0316v1 · doi: 10.48550/arxiv.1102.0316 · pith_short_12: TBH326X4TNJV · pith_short_16: TBH326X4TNJV434Y · pith_short_8: TBH326X4

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/TBH326X4TNJV434YZLIC63QRVC \
  | 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: 984fbd7afc9b535e6f98cad02f6e11a89d34321e41ee1b6b153083eedd9a6d7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2101d6074fb530c9570bd7053f0b00aa93f76a4f45a3dbae51d76b395fa1f8a0",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-02-01T22:47:32Z",
    "title_canon_sha256": "bb179a8a2341f097dbdbd68d9efec693de2492eaeed36a0287ddac409c63b798"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0316",
    "kind": "arxiv",
    "version": 1
  }
}