Pith Number

pith:5JELCQQH

pith:2024:5JELCQQHR2EPW2MHAFQRCGEQUG

not attested not anchored not stored refs pending

A method for constructing graphs with the same resistance spectrum

Huan Zhou, Si-Ao Xu, Xiang-Feng Pan

arxiv:2403.06096 v1 · 2024-03-10 · 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{5JELCQQHR2EPW2MHAFQRCGEQUG}

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	2026-07-05T07:54:18.057127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea48b142078e88fb69870161111890a180a5df637af421d479987f62f1aed208

Aliases

arxiv: 2403.06096 · arxiv_version: 2403.06096v1 · doi: 10.48550/arxiv.2403.06096 · pith_short_12: 5JELCQQHR2EP · pith_short_16: 5JELCQQHR2EPW2MH · pith_short_8: 5JELCQQH

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/5JELCQQHR2EPW2MHAFQRCGEQUG \
  | 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: ea48b142078e88fb69870161111890a180a5df637af421d479987f62f1aed208

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f411846d5b1c6cb1f9b0874d31b7e203cc84eaf8eff5d860c8751cfd87bc73cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-03-10T05:10:59Z",
    "title_canon_sha256": "75d13c72f990f62a21c32e812c94b75fad2ef2c03e373007f0ed8357afdb62a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.06096",
    "kind": "arxiv",
    "version": 1
  }
}