Pith Number

pith:YDCYL53R

pith:2020:YDCYL53RBZYIYDCPSLCXGPFOSL

not attested not anchored not stored refs pending

Refined universality for critical KCM: lower bounds

Ivailo Hartarsky, Laure Mar\^ech\'e

arxiv:2011.06952 v3 · 2020-11-13 · math.PR · cond-mat.stat-mech · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YDCYL53RBZYIYDCPSLCXGPFOSL}

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	2026-07-05T05:29:23.792194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0c585f7710e708c0c4f92c5733cae92fde25b67beb83670f9999fe711cbe543

Aliases

arxiv: 2011.06952 · arxiv_version: 2011.06952v3 · doi: 10.48550/arxiv.2011.06952 · pith_short_12: YDCYL53RBZYI · pith_short_16: YDCYL53RBZYIYDCP · pith_short_8: YDCYL53R

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/YDCYL53RBZYIYDCPSLCXGPFOSL \
  | 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: c0c585f7710e708c0c4f92c5733cae92fde25b67beb83670f9999fe711cbe543

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cab756d75df7a7aa53e184e310d5af1a53a667f46fee711e455da352229dfaf1",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2020-11-13T14:56:05Z",
    "title_canon_sha256": "f5af689af930203f6bd57e7070d1a07e13a5bfc00443ccdeaf40812efa1017e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.06952",
    "kind": "arxiv",
    "version": 3
  }
}