Pith Number

pith:AWP3X7ZM

pith:2009:AWP3X7ZMXKURCOI4JZUSXD53OB

not attested not anchored not stored refs pending

Uncertainty relations of Statistical Mechanics

L. Velazquez, S. Curilef

arxiv:0910.2867 v1 · 2009-10-15 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AWP3X7ZMXKURCOI4JZUSXD53OB}

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	2026-05-18T02:11:23.321428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

059fbbff2cbaa911391c4e692b8fbb7069c4972bb015681fbb5555c9fdf1e8a6

Aliases

arxiv: 0910.2867 · arxiv_version: 0910.2867v1 · doi: 10.48550/arxiv.0910.2867 · pith_short_12: AWP3X7ZMXKUR · pith_short_16: AWP3X7ZMXKURCOI4 · pith_short_8: AWP3X7ZM

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/AWP3X7ZMXKURCOI4JZUSXD53OB \
  | 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: 059fbbff2cbaa911391c4e692b8fbb7069c4972bb015681fbb5555c9fdf1e8a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc1a38a18f1a55d41d2f12c9a45d9636ec22500eaea97c9e8c57167cc50b5028",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2009-10-15T13:13:49Z",
    "title_canon_sha256": "c946cf5dba380b2b964d48b2c18ccd4977042e7f25980ff18150214345888220"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.2867",
    "kind": "arxiv",
    "version": 1
  }
}