Pith Number

pith:JWDI6DCG

pith:2016:JWDI6DCGK2AICJCOPHW3IIAGTF

not attested not anchored not stored refs pending

The energy of the alphabet model

Davide Gabrielli, Fabio Roncari

arxiv:1608.02131 v3 · 2016-08-06 · cond-mat.stat-mech · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JWDI6DCGK2AICJCOPHW3IIAGTF}

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	2026-05-18T00:39:13.302742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d868f0c46568081244e79edb42006995205c71d4d5d7405ad12046eca75f63d

Aliases

arxiv: 1608.02131 · arxiv_version: 1608.02131v3 · doi: 10.48550/arxiv.1608.02131 · pith_short_12: JWDI6DCGK2AI · pith_short_16: JWDI6DCGK2AICJCO · pith_short_8: JWDI6DCG

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/JWDI6DCGK2AICJCOPHW3IIAGTF \
  | 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: 4d868f0c46568081244e79edb42006995205c71d4d5d7405ad12046eca75f63d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7eb72caf279828f51ec7bfbb8510719282a771177ebd3304e7e9a954d661c353",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2016-08-06T17:33:04Z",
    "title_canon_sha256": "f95b51bb04a521208f43928ee7cc2dcb7d33fa005886a3c1669199e392009f9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.02131",
    "kind": "arxiv",
    "version": 3
  }
}