Pith Number

pith:PA4BUYYU

pith:2019:PA4BUYYULJUVC6HDVSYSFQTILO

not attested not anchored not stored refs pending

Small unit-distance graphs in the plane

Aidan Globus, Hans Parshall

arxiv:1905.07829 v3 · 2019-05-19 · 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{PA4BUYYULJUVC6HDVSYSFQTILO}

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	2026-05-17T23:45:14.481771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78381a63145a695178e3acb122c2685b9a66a11746691318d3a0aac1918e652a

Aliases

arxiv: 1905.07829 · arxiv_version: 1905.07829v3 · doi: 10.48550/arxiv.1905.07829 · pith_short_12: PA4BUYYULJUV · pith_short_16: PA4BUYYULJUVC6HD · pith_short_8: PA4BUYYU

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/PA4BUYYULJUVC6HDVSYSFQTILO \
  | 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: 78381a63145a695178e3acb122c2685b9a66a11746691318d3a0aac1918e652a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c38686ac10f2d9b87d07f32e6b08d16c665fcf4e96a34001d3b18aa366b0d67",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-05-19T23:36:49Z",
    "title_canon_sha256": "b79938a7592f07317ce8df58bbb7c05789ce31c2239abfe22ca383403c2c09bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.07829",
    "kind": "arxiv",
    "version": 3
  }
}