Pith Number

pith:7N3OJP4P

pith:2018:7N3OJP4PTT2M5HVF4B2LF5JSGQ

not attested not anchored not stored refs pending

Generating Graphs with Symmetry

Francesco Sorrentino, Isaac Klickstein

arxiv:1808.05166 v1 · 2018-08-15 · 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{7N3OJP4PTT2M5HVF4B2LF5JSGQ}

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	2026-05-18T00:08:01.416179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb76e4bf8f9cf4ce9ea5e074b2f5323412ba24657334971eb5bed0d3ca34e1ff

Aliases

arxiv: 1808.05166 · arxiv_version: 1808.05166v1 · doi: 10.48550/arxiv.1808.05166 · pith_short_12: 7N3OJP4PTT2M · pith_short_16: 7N3OJP4PTT2M5HVF · pith_short_8: 7N3OJP4P

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/7N3OJP4PTT2M5HVF4B2LF5JSGQ \
  | 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: fb76e4bf8f9cf4ce9ea5e074b2f5323412ba24657334971eb5bed0d3ca34e1ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cba9ee68fc194346784b8c71070456a37442cdb7c89f52057e057ad5fac67d9c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-08-15T16:08:44Z",
    "title_canon_sha256": "10b9e135c3f025fbea15891b52abb51623bc85e319cda4ef4d451aa3ab495c4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.05166",
    "kind": "arxiv",
    "version": 1
  }
}