Pith Number

pith:OZ2I7GJS

pith:2006:OZ2I7GJS534SEOT3PU3RSAJZE4

not attested not anchored not stored refs pending

Random Trees in Electrical Networks

Hariharan Narayanan

arxiv:math/0607011 v2 · 2006-07-01 · 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{OZ2I7GJS534SEOT3PU3RSAJZE4}

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	2026-05-18T04:04:31.493696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76748f9932eef9223a7b7d371901392711296e53cafd594b4cb88c93b44f81cf

Aliases

arxiv: math/0607011 · arxiv_version: math/0607011v2 · doi: 10.48550/arxiv.math/0607011 · pith_short_12: OZ2I7GJS534S · pith_short_16: OZ2I7GJS534SEOT3 · pith_short_8: OZ2I7GJS

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/OZ2I7GJS534SEOT3PU3RSAJZE4 \
  | 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: 76748f9932eef9223a7b7d371901392711296e53cafd594b4cb88c93b44f81cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a480de5c18ff8e855e0a73f0d2171a0c03d564fd8b42452a210eb7ffe535446",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2006-07-01T06:39:51Z",
    "title_canon_sha256": "ce5d71c2e9696645ce5edd97942474c8d47ef92a91eec54a2df6a75137007f9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607011",
    "kind": "arxiv",
    "version": 2
  }
}