Pith Number

pith:7I3RXJ44

pith:2016:7I3RXJ44A6CIMBBHWAKQQAGOSV

not attested not anchored not stored refs pending

A Reduction System for Optimal 1-Planar Graphs

Franz J. Brandenburg

arxiv:1602.06407 v2 · 2016-02-20 · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7I3RXJ44A6CIMBBHWAKQQAGOSV}

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	2026-05-18T01:01:08.633754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa371ba79c0784860427b0150800ce95573b0b2b182e104392c2e1be3a6f5800

Aliases

arxiv: 1602.06407 · arxiv_version: 1602.06407v2 · doi: 10.48550/arxiv.1602.06407 · pith_short_12: 7I3RXJ44A6CI · pith_short_16: 7I3RXJ44A6CIMBBH · pith_short_8: 7I3RXJ44

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/7I3RXJ44A6CIMBBHWAKQQAGOSV \
  | 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: fa371ba79c0784860427b0150800ce95573b0b2b182e104392c2e1be3a6f5800

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b2b30e69f8a54f6ce4bbc63e75c4e5d0fdc52626ad8a9ff99b2d732dc747eb4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2016-02-20T13:38:28Z",
    "title_canon_sha256": "745f805595dfaffdb85e96b58199d73685e805924c936dfe910ba49a39829a8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.06407",
    "kind": "arxiv",
    "version": 2
  }
}