Pith Number

pith:3REY6O2F

pith:2026:3REY6O2FMAFTCVAF7HPO5FZ2KU

not attested not anchored not stored refs pending

Determination of thermodynamics from entanglement entropy in the finite-density O(N) model

Aatu Rajala, Niko Jokela, Tobias Rindlisbacher

arxiv:2607.06286 v1 · 2026-07-07 · hep-th · cond-mat.stat-mech · hep-lat · hep-ph · quant-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{3REY6O2FMAFTCVAF7HPO5FZ2KU}

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	2026-07-08T01:19:19.997046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc498f3b45600b315405f9deee973a5527e00c2e49711c907164b59d29b43a0e

Aliases

arxiv: 2607.06286 · arxiv_version: 2607.06286v1 · doi: 10.48550/arxiv.2607.06286 · pith_short_12: 3REY6O2FMAFT · pith_short_16: 3REY6O2FMAFTCVAF · pith_short_8: 3REY6O2F

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/3REY6O2FMAFTCVAF7HPO5FZ2KU \
  | 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: dc498f3b45600b315405f9deee973a5527e00c2e49711c907164b59d29b43a0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "789c9e05f0ca7211c1cfa359a379d136258ba2c3f1547dae7de6e0f8490d9af6",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "hep-lat",
      "hep-ph",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-07-07T13:52:07Z",
    "title_canon_sha256": "af91d100e2caec4bd8503e480cc28010427d5685e98858cf2417168bd1bc8331"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06286",
    "kind": "arxiv",
    "version": 1
  }
}