Pith Number

pith:J5EZS7HK

pith:2015:J5EZS7HKVXVX34UICMJZG44H72

not attested not anchored not stored refs pending

Charged Renyi entropies for free scalar fields

J.S. Dowker

arxiv:1512.01135 v3 · 2015-12-03 · hep-th · 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{J5EZS7HKVXVX34UICMJZG44H72}

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	2026-05-18T01:22:05.654332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f49997ceaadeb7df2881313937387feb25f61153ea580117e35805f2fe8d2c3

Aliases

arxiv: 1512.01135 · arxiv_version: 1512.01135v3 · doi: 10.48550/arxiv.1512.01135 · pith_short_12: J5EZS7HKVXVX · pith_short_16: J5EZS7HKVXVX34UI · pith_short_8: J5EZS7HK

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/J5EZS7HKVXVX34UICMJZG44H72 \
  | 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: 4f49997ceaadeb7df2881313937387feb25f61153ea580117e35805f2fe8d2c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d15788393010d204856eea8068a933de9a179c39f23537741757fba58c39dc04",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-12-03T16:06:02Z",
    "title_canon_sha256": "2a4252c6d6dcd9d617c46c97095e80bbaea83ff77bda2da92c77fc9d84813a38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01135",
    "kind": "arxiv",
    "version": 3
  }
}