Pith Number

pith:LRZB5TFA

pith:2026:LRZB5TFAHQATSFDTZRKCKX65KV

not attested not anchored not stored refs pending

Mpemba Effect in Many-Body Systems Near Equilibrium

Philippe Ben-Abdallah

arxiv:2603.11707 v3 · 2026-03-12 · physics.class-ph · cond-mat.dis-nn · cond-mat.mes-hall · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LRZB5TFAHQATSFDTZRKCKX65KV}

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	2026-06-05T01:15:22.940599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c721ecca03c01391473cc54255fdd5572030d1e355b8c976220ce51f11a5c2f

Aliases

arxiv: 2603.11707 · arxiv_version: 2603.11707v3 · doi: 10.48550/arxiv.2603.11707 · pith_short_12: LRZB5TFAHQAT · pith_short_16: LRZB5TFAHQATSFDT · pith_short_8: LRZB5TFA

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/LRZB5TFAHQATSFDTZRKCKX65KV \
  | 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: 5c721ecca03c01391473cc54255fdd5572030d1e355b8c976220ce51f11a5c2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a56c77d4ec49e0cc4de93e315cf6f068211b2394963fa1a4940d5ca72eb08b7",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cond-mat.mes-hall",
      "physics.optics"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2026-03-12T09:13:53Z",
    "title_canon_sha256": "a8cf30d85407dc57c51b2e9bcbbff4d3234192357d5c6c18e5fc6d0d4caab9ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.11707",
    "kind": "arxiv",
    "version": 3
  }
}