Pith Number

pith:W2W4EJSZ

pith:2013:W2W4EJSZ3YWEGAENP3PEAJXOLB

not attested not anchored not stored refs pending

Strange Lagrangian systems and statistical mechanics

Liu Zhao

arxiv:1305.6863 v1 · 2013-05-22 · cond-mat.stat-mech · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W2W4EJSZ3YWEGAENP3PEAJXOLB}

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	2026-05-18T03:21:23.262242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6adc22659de2c43008d7ede4026ee58755b65bcd671855e772cdf5ece28f0b5

Aliases

arxiv: 1305.6863 · arxiv_version: 1305.6863v1 · doi: 10.48550/arxiv.1305.6863 · pith_short_12: W2W4EJSZ3YWE · pith_short_16: W2W4EJSZ3YWEGAEN · pith_short_8: W2W4EJSZ

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/W2W4EJSZ3YWEGAENP3PEAJXOLB \
  | 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: b6adc22659de2c43008d7ede4026ee58755b65bcd671855e772cdf5ece28f0b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23c453bdc379f408f74e92437389153c33f8c6288d3d306ce85459baefb5266a",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2013-05-22T00:50:54Z",
    "title_canon_sha256": "277505acf41a518068bba9be4853f3abbfd88c6cb0789e48a2b5be2a8bbbe127"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6863",
    "kind": "arxiv",
    "version": 1
  }
}