Pith Number

pith:YE5HNAVI

pith:2013:YE5HNAVIIYVVKCU325XDVQSZTT

not attested not anchored not stored refs pending

Circular Planar Electrical Networks I: The Electrical Poset EP_{n}

Brandon Tran, Carl Lian, Joshua Alman

arxiv:1309.2697 v1 · 2013-09-11 · 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{YE5HNAVIIYVVKCU325XDVQSZTT}

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	2026-05-18T03:13:35.170502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c13a7682a8462b550a9bd76e3ac2599cce90f495870ffb17c05e5e271ddaafa8

Aliases

arxiv: 1309.2697 · arxiv_version: 1309.2697v1 · doi: 10.48550/arxiv.1309.2697 · pith_short_12: YE5HNAVIIYVV · pith_short_16: YE5HNAVIIYVVKCU3 · pith_short_8: YE5HNAVI

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/YE5HNAVIIYVVKCU325XDVQSZTT \
  | 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: c13a7682a8462b550a9bd76e3ac2599cce90f495870ffb17c05e5e271ddaafa8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e104602adfef586a4be43f84689db532e2f4b07581c26d307cf92bc93cd809e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-11T00:05:46Z",
    "title_canon_sha256": "93e7c89a32dfc7bcd5e94af894c6ee1936c5144a94c2123612280766fa7bb0a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2697",
    "kind": "arxiv",
    "version": 1
  }
}