Pith Number

pith:HSTM22BE

pith:2009:HSTM22BEQZYYLGHJFRDPX6QM4N

not attested not anchored not stored refs pending

Uniqueness of electrical currents in a network of finite total resistance

Agelos Georgakopoulos

arxiv:0906.4080 v4 · 2009-06-22 · 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{HSTM22BEQZYYLGHJFRDPX6QM4N}

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	2026-05-18T02:58:03.048049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ca6cd682486718598e92c46fbfa0ce36594f17d6653e24554ff915c7aab5973

Aliases

arxiv: 0906.4080 · arxiv_version: 0906.4080v4 · doi: 10.48550/arxiv.0906.4080 · pith_short_12: HSTM22BEQZYY · pith_short_16: HSTM22BEQZYYLGHJ · pith_short_8: HSTM22BE

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/HSTM22BEQZYYLGHJFRDPX6QM4N \
  | 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: 3ca6cd682486718598e92c46fbfa0ce36594f17d6653e24554ff915c7aab5973

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "802a6b1067d761130b1131ab0616b68537255c8a3385cf5792292b6a1a660b15",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-06-22T19:53:16Z",
    "title_canon_sha256": "4dae382eb579d7f8473563b08650246827075ff19df5fa28746d50f237df020e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.4080",
    "kind": "arxiv",
    "version": 4
  }
}