Pith Number

pith:73YMAQ43

pith:2019:73YMAQ4334ZZYCKS54AYS6OGR6

not attested not anchored not stored refs pending

A sharp threshold phenomenon in string graphs

Istvan Tomon

arxiv:1908.05550 v1 · 2019-08-15 · 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{73YMAQ4334ZZYCKS54AYS6OGR6}

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	2026-07-04T23:56:53.813881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fef0c0439bdf339c0952ef018979c68f93c689d6c36137338c07390114a4247a

Aliases

arxiv: 1908.05550 · arxiv_version: 1908.05550v1 · doi: 10.48550/arxiv.1908.05550 · pith_short_12: 73YMAQ4334ZZ · pith_short_16: 73YMAQ4334ZZYCKS · pith_short_8: 73YMAQ43

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/73YMAQ4334ZZYCKS54AYS6OGR6 \
  | 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: fef0c0439bdf339c0952ef018979c68f93c689d6c36137338c07390114a4247a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9b168f931b1eddae58060cf28bef60a23640ab1296f893b74fdb70fd08c1e1c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-15T14:02:54Z",
    "title_canon_sha256": "cf3e61c0d468ceefdeaa2035b874536df9cb2a260be066befad4b4e2db31e4d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05550",
    "kind": "arxiv",
    "version": 1
  }
}