Pith Number

pith:JJIYYJJJ

pith:2016:JJIYYJJJNDOSWSA5O4DI5MLAG6

not attested not anchored not stored refs pending

Energy Probability Distribution Zeros: A Route to Study Phase Transitions

B.V. Costa, J.C.S. Rocha, L.A.S. M\'ol

arxiv:1603.04928 v3 · 2016-03-16 · 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{JJIYYJJJNDOSWSA5O4DI5MLAG6}

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	2026-05-18T00:44:01.414817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a518c252968dd2b481d77068eb16037a135db7047f7f0cb404313a501b33096

Aliases

arxiv: 1603.04928 · arxiv_version: 1603.04928v3 · doi: 10.48550/arxiv.1603.04928 · pith_short_12: JJIYYJJJNDOS · pith_short_16: JJIYYJJJNDOSWSA5 · pith_short_8: JJIYYJJJ

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/JJIYYJJJNDOSWSA5O4DI5MLAG6 \
  | 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: 4a518c252968dd2b481d77068eb16037a135db7047f7f0cb404313a501b33096

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7650cd0cafc2c8b4b6b157c5bc12c87eda51485c4e716fae1f669a3544242ebe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2016-03-16T01:01:19Z",
    "title_canon_sha256": "0aea42789f098af30632ac83b1bc5d141252e0111460b503c4a680f4d8feab0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.04928",
    "kind": "arxiv",
    "version": 3
  }
}