Pith Number

pith:I6HGMFD2

pith:2014:I6HGMFD2HYIEBTJM4LKKVMJGI4

not attested not anchored not stored refs pending

The Parisi formula has a unique minimizer

Antonio Auffinger, Wei-Kuo Chen

arxiv:1402.5132 v3 · 2014-02-20 · math.PR · 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{I6HGMFD2HYIEBTJM4LKKVMJGI4}

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	2026-05-18T01:44:29.903092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

478e66147a3e1040cd2ce2d4aab1264738ec0a9d042357733e027c250fc8d10d

Aliases

arxiv: 1402.5132 · arxiv_version: 1402.5132v3 · doi: 10.48550/arxiv.1402.5132 · pith_short_12: I6HGMFD2HYIE · pith_short_16: I6HGMFD2HYIEBTJM · pith_short_8: I6HGMFD2

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/I6HGMFD2HYIEBTJM4LKKVMJGI4 \
  | 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: 478e66147a3e1040cd2ce2d4aab1264738ec0a9d042357733e027c250fc8d10d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b510330a6d8263e2d25b48611844fe6d477cab755ff7ded2a6a14d3f8bff8ff",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-02-20T20:50:16Z",
    "title_canon_sha256": "e1abb75e1392b9404420527346feb61782fd6a2e15605e033a1a995fcd083918"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.5132",
    "kind": "arxiv",
    "version": 3
  }
}