Pith Number

pith:FSYUZNSK

pith:2004:FSYUZNSK763ONDTTDNNCR57BAC

not attested not anchored not stored refs pending

A question about Parisi functional

Dmitry Panchenko

arxiv:math/0412463 v1 · 2004-12-22 · 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{FSYUZNSK763ONDTTDNNCR57BAC}

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	2026-05-18T04:08:35.855376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cb14cb64affb6e68e731b5a28f7e1009691f3957deaab9104271297c220824e

Aliases

arxiv: math/0412463 · arxiv_version: math/0412463v1 · doi: 10.48550/arxiv.math/0412463 · pith_short_12: FSYUZNSK763O · pith_short_16: FSYUZNSK763ONDTT · pith_short_8: FSYUZNSK

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/FSYUZNSK763ONDTTDNNCR57BAC \
  | 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: 2cb14cb64affb6e68e731b5a28f7e1009691f3957deaab9104271297c220824e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "489cc2a18d26e9933fd8c4d74654589aa03c3eda22fde10f4ebd20ed58e581d4",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2004-12-22T21:29:18Z",
    "title_canon_sha256": "5a38f1f11cc339e0024214321a73cfca815eee6d2d7700a98dd0ecb557afb708"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0412463",
    "kind": "arxiv",
    "version": 1
  }
}