Pith Number

pith:BQWPHWJZ

pith:2016:BQWPHWJZAJX2ZDUK56MTOTHD7B

not attested not anchored not stored refs pending

Peculiar spectral statistics of ensembles of trees and star-like graphs

O. Valba, S. Nechaev, V. Kovaleva, Yu. Maximov

arxiv:1612.01002 v4 · 2016-12-03 · cond-mat.stat-mech · math.SP · physics.data-an

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BQWPHWJZAJX2ZDUK56MTOTHD7B}

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	2026-05-18T00:39:00.940786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c2cf3d939026fac8e8aef99374ce3f86d7dc9218e11f4306bf9fc9db0ca4718

Aliases

arxiv: 1612.01002 · arxiv_version: 1612.01002v4 · doi: 10.48550/arxiv.1612.01002 · pith_short_12: BQWPHWJZAJX2 · pith_short_16: BQWPHWJZAJX2ZDUK · pith_short_8: BQWPHWJZ

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/BQWPHWJZAJX2ZDUK56MTOTHD7B \
  | 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: 0c2cf3d939026fac8e8aef99374ce3f86d7dc9218e11f4306bf9fc9db0ca4718

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afb095db37a699c92fac8160fe366bdf1c7484caeb6e60365cc10b2ad7fb8b9b",
    "cross_cats_sorted": [
      "math.SP",
      "physics.data-an"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2016-12-03T18:36:53Z",
    "title_canon_sha256": "e11dcc25489e99a1446dd4d514b3defb3fc5495b8d8f79e34ba97f9ad25b9e8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01002",
    "kind": "arxiv",
    "version": 4
  }
}