Pith Number

pith:A32QOFT4

pith:2011:A32QOFT4VPZMCLWCVBTZZV4DXS

not attested not anchored not stored refs pending

On Properties of the Minimum Entropy Sub-tree to Compute Lower Bounds on the Partition Function

Mehdi Molkaraie, Payam Pakzad

arxiv:1103.0377 v1 · 2011-03-02 · stat.AP · cs.IT · math.IT · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A32QOFT4VPZMCLWCVBTZZV4DXS}

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	2026-05-18T04:27:35.078044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06f507167cabf2c12ec2a8679cd783bcb4e86512a9beec2242205ea35b32e30f

Aliases

arxiv: 1103.0377 · arxiv_version: 1103.0377v1 · doi: 10.48550/arxiv.1103.0377 · pith_short_12: A32QOFT4VPZM · pith_short_16: A32QOFT4VPZMCLWC · pith_short_8: A32QOFT4

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/A32QOFT4VPZMCLWCVBTZZV4DXS \
  | 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: 06f507167cabf2c12ec2a8679cd783bcb4e86512a9beec2242205ea35b32e30f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d18135127d34b148fc01d7ae07546830107bdd9d8e300f21909e550ecaf8472c",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.AP",
    "submitted_at": "2011-03-02T09:46:44Z",
    "title_canon_sha256": "a699205b97eca92a165760a42058a6f0632ca7821e245b64493b9ae0b559c08c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0377",
    "kind": "arxiv",
    "version": 1
  }
}