Pith Number

pith:WRO7A6RT

pith:2015:WRO7A6RTTPTO3ETLYL4X7RPJQB

not attested not anchored not stored refs pending

Discrete complex analysis on planar quad-graphs

Alexander I. Bobenko, Felix G\"unther

arxiv:1505.05673 v1 · 2015-05-21 · math.CV · 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{WRO7A6RTTPTO3ETLYL4X7RPJQB}

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	2026-05-18T00:48:55.067811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b45df07a339be6ed926bc2f97fc5e98061d6dd1993f5986b6d6e745f6351cb7c

Aliases

arxiv: 1505.05673 · arxiv_version: 1505.05673v1 · doi: 10.48550/arxiv.1505.05673 · pith_short_12: WRO7A6RTTPTO · pith_short_16: WRO7A6RTTPTO3ETL · pith_short_8: WRO7A6RT

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/WRO7A6RTTPTO3ETLYL4X7RPJQB \
  | 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: b45df07a339be6ed926bc2f97fc5e98061d6dd1993f5986b6d6e745f6351cb7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9eb32c271cb056ffa36434c386bb7a5c82e9ce9f9e28bf32bd81bc3a12909095",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-05-21T10:53:01Z",
    "title_canon_sha256": "43bcacfc1e65588990390b35aec1d487c431068b0cf2e6bd1194a289eaa22c6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.05673",
    "kind": "arxiv",
    "version": 1
  }
}