Pith Number

pith:TIWJMWIQ

pith:2013:TIWJMWIQ57377I5RQ7TUBNT6WJ

not attested not anchored not stored refs pending

Circular Planar Electrical Networks II: Positivity Phenomena

Brandon Tran, Carl Lian, Joshua Alman

arxiv:1309.3011 v1 · 2013-09-12 · math.CO · math.RA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TIWJMWIQ57377I5RQ7TUBNT6WJ}

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	2026-05-18T03:13:33.116906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a2c965910eff7ffa3b187e740b67eb264251bf125c1f0ed619af8f9bcab7e01

Aliases

arxiv: 1309.3011 · arxiv_version: 1309.3011v1 · doi: 10.48550/arxiv.1309.3011 · pith_short_12: TIWJMWIQ5737 · pith_short_16: TIWJMWIQ57377I5R · pith_short_8: TIWJMWIQ

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/TIWJMWIQ57377I5RQ7TUBNT6WJ \
  | 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: 9a2c965910eff7ffa3b187e740b67eb264251bf125c1f0ed619af8f9bcab7e01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3907ccdd47e473aa0bf4072a1d9b61cf4a6d7f2ce707991ac58959fd6e4e31dd",
    "cross_cats_sorted": [
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-12T00:32:42Z",
    "title_canon_sha256": "7cc88dbc5b89da06736a0f06670737f11d8f716ffececff28c5e5fdb73a73a07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3011",
    "kind": "arxiv",
    "version": 1
  }
}