Pith Number

pith:6L2CKTK6

pith:2004:6L2CKTK6PDXUWBVYWCBDFKHFVH

not attested not anchored not stored refs pending

Bounds for diluted mean-fields spin glass models

Dmitry Panchenko, Michel Talagrand

arxiv:math/0405357 v1 · 2004-05-18 · math.PR · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6L2CKTK6PDXUWBVYWCBDFKHFVH}

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	2026-05-18T04:08:42.932870Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2f4254d5e78ef4b06b8b08232a8e5a9cc9f29f63ebf514099ae237dfdecf633

Aliases

arxiv: math/0405357 · arxiv_version: math/0405357v1 · doi: 10.48550/arxiv.math/0405357 · pith_short_12: 6L2CKTK6PDXU · pith_short_16: 6L2CKTK6PDXUWBVY · pith_short_8: 6L2CKTK6

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/6L2CKTK6PDXUWBVYWCBDFKHFVH \
  | 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: f2f4254d5e78ef4b06b8b08232a8e5a9cc9f29f63ebf514099ae237dfdecf633

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93545be121916269830e0e86ace2f52acdf57be3350af086e113ee048bdca311",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2004-05-18T21:38:25Z",
    "title_canon_sha256": "3e4660993f9d746124f24a5710440a9e365960f5518404a1c364f79efd7eeb14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0405357",
    "kind": "arxiv",
    "version": 1
  }
}