Pith Number

pith:57CT3KQ2

pith:2017:57CT3KQ2EUQ6B74P5Y7HFLCGW5

not attested not anchored not stored refs pending

Many Triangles with Few Edges

A. J. Radcliffe, R. Kirsch

arxiv:1709.06163 v2 · 2017-09-18 · 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{57CT3KQ2EUQ6B74P5Y7HFLCGW5}

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	2026-05-17T23:43:54.069221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efc53daa1a2521e0ff8fee3e72ac46b7780e57371a153e3c5130a145198dbc4a

Aliases

arxiv: 1709.06163 · arxiv_version: 1709.06163v2 · doi: 10.48550/arxiv.1709.06163 · pith_short_12: 57CT3KQ2EUQ6 · pith_short_16: 57CT3KQ2EUQ6B74P · pith_short_8: 57CT3KQ2

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/57CT3KQ2EUQ6B74P5Y7HFLCGW5 \
  | 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: efc53daa1a2521e0ff8fee3e72ac46b7780e57371a153e3c5130a145198dbc4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eaf55ca0f340dfd636ea60804d07c508d7bb812e4ef780a4d7cdea8f7c05284a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-18T20:43:44Z",
    "title_canon_sha256": "7c0478face0200180ab0cb9dd8e4a85fe14f2de31662414589adec7e22ba6644"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.06163",
    "kind": "arxiv",
    "version": 2
  }
}