Pith Number

pith:M7KDPNIW

pith:2025:M7KDPNIWUNCI25HRUJAXCN6DNP

not attested not anchored not stored refs pending

Gradient flow of the infinite-volume free energy for lattice systems of continuous spins

Ronan Herry, Thomas Lebl\'e

arxiv:2502.06500 v1 · 2025-02-10 · math.PR · cond-mat.stat-mech · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M7KDPNIWUNCI25HRUJAXCN6DNP}

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	2026-07-05T10:16:20.628273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67d437b516a3448d74f1a2417137c36bebf1452d6ce97f9a2f5fe1af1287ccd3

Aliases

arxiv: 2502.06500 · arxiv_version: 2502.06500v1 · doi: 10.48550/arxiv.2502.06500 · pith_short_12: M7KDPNIWUNCI · pith_short_16: M7KDPNIWUNCI25HR · pith_short_8: M7KDPNIW

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/M7KDPNIWUNCI25HRUJAXCN6DNP \
  | 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: 67d437b516a3448d74f1a2417137c36bebf1452d6ce97f9a2f5fe1af1287ccd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbce22b11a75cf1326e6fc4b4fe9d8b637686d261b7cb7b1c4e6c9a587beb08e",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-02-10T14:18:44Z",
    "title_canon_sha256": "b8d11124ee2a45f29e21c06b64b49924f5c51100517045c168102f22ab651573"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.06500",
    "kind": "arxiv",
    "version": 1
  }
}