Pith Number

pith:III57HJ2

pith:2015:III57HJ2HSWGTVL3NPBLDDKY6U

not attested not anchored not stored refs pending

Native ultrametricity of sparse random ensembles

P. L. Krapivsky, S. Nechaev, V. Avetisov

arxiv:1506.05037 v1 · 2015-06-16 · cond-mat.dis-nn · cond-mat.stat-mech · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{III57HJ2HSWGTVL3NPBLDDKY6U}

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	2026-05-18T01:22:20.963448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4211df9d3a3cac69d57b6bc2b18d58f514585480778de1f1476f39caeb8c587c

Aliases

arxiv: 1506.05037 · arxiv_version: 1506.05037v1 · doi: 10.48550/arxiv.1506.05037 · pith_short_12: III57HJ2HSWG · pith_short_16: III57HJ2HSWGTVL3 · pith_short_8: III57HJ2

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/III57HJ2HSWGTVL3NPBLDDKY6U \
  | 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: 4211df9d3a3cac69d57b6bc2b18d58f514585480778de1f1476f39caeb8c587c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c23d3a26f6725b6b46e696a2a489c094a5f6cd39435806677b5540549d6ef97",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2015-06-16T17:15:46Z",
    "title_canon_sha256": "be44b36c31ba9dc12464f84157bcfe07fe6de6f143d52d8d9372733a088c9210"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.05037",
    "kind": "arxiv",
    "version": 1
  }
}