Pith Number

pith:6CCE2JYK

pith:2011:6CCE2JYKDXQZIDC23WFQBHG6DC

not attested not anchored not stored refs pending

The Parisi ultrametricity conjecture

Dmitry Panchenko

arxiv:1112.1003 v2 · 2011-12-05 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6CCE2JYKDXQZIDC23WFQBHG6DC}

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	2026-05-18T02:26:01.323873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0844d270a1de1940c5add8b009cde188302e32575dd99b6a66682a8c8ba6f1b

Aliases

arxiv: 1112.1003 · arxiv_version: 1112.1003v2 · doi: 10.48550/arxiv.1112.1003 · pith_short_12: 6CCE2JYKDXQZ · pith_short_16: 6CCE2JYKDXQZIDC2 · pith_short_8: 6CCE2JYK

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/6CCE2JYKDXQZIDC23WFQBHG6DC \
  | 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: f0844d270a1de1940c5add8b009cde188302e32575dd99b6a66682a8c8ba6f1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8598edeaf931e2eebd6dc89fa79ae45619740accbf2aec7353497f153d6b9f7b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-12-05T17:11:09Z",
    "title_canon_sha256": "73787c468dbb279253b1734fcad7e86dbf5123f10810d5529f78e6840630ea4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1003",
    "kind": "arxiv",
    "version": 2
  }
}