Pith Number

pith:64MA32ZS

pith:2013:64MA32ZS7L5EICCR5EPNMLYDRQ

not attested not anchored not stored refs pending

Mpemba Paradox Revisited -- Numerical Reinforcement

Chang Q Sun, Xi Zhang, Yongli Huang, Zengsheng Ma

arxiv:1312.1014 v2 · 2013-12-04 · physics.chem-ph · cond-mat.soft

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{64MA32ZS7L5EICCR5EPNMLYDRQ}

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	2026-05-18T02:29:23.551661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7180deb32fafa440851e91ed62f038c30208d7868960aca502e180a1ef0743a

Aliases

arxiv: 1312.1014 · arxiv_version: 1312.1014v2 · doi: 10.48550/arxiv.1312.1014 · pith_short_12: 64MA32ZS7L5E · pith_short_16: 64MA32ZS7L5EICCR · pith_short_8: 64MA32ZS

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/64MA32ZS7L5EICCR5EPNMLYDRQ \
  | 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: f7180deb32fafa440851e91ed62f038c30208d7868960aca502e180a1ef0743a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ee830df38cdfe1b538bab53e57ecf9afa446c02b84f86595719a90c1c5504ec",
    "cross_cats_sorted": [
      "cond-mat.soft"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.chem-ph",
    "submitted_at": "2013-12-04T03:39:26Z",
    "title_canon_sha256": "1ad94685e3e084a5f02de9dd115cc31f445a582ec0bd921fcba2fba0120bcd16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1014",
    "kind": "arxiv",
    "version": 2
  }
}