Pith Number

pith:36K6CPGY

pith:2014:36K6CPGY2BWR4VF25A7KBTN7SP

not attested not anchored not stored refs pending

On the Typical Structure of Graphs in a Monotone Property

Andrew J. Uzzell, Svante Janson

arxiv:1404.2456 v1 · 2014-04-09 · 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{36K6CPGY2BWR4VF25A7KBTN7SP}

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	2026-05-18T02:54:31.468392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df95e13cd8d06d1e54bae83ea0cdbf93d49d11a9b11fff2a8e41aedb29f3e618

Aliases

arxiv: 1404.2456 · arxiv_version: 1404.2456v1 · doi: 10.48550/arxiv.1404.2456 · pith_short_12: 36K6CPGY2BWR · pith_short_16: 36K6CPGY2BWR4VF2 · pith_short_8: 36K6CPGY

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/36K6CPGY2BWR4VF25A7KBTN7SP \
  | 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: df95e13cd8d06d1e54bae83ea0cdbf93d49d11a9b11fff2a8e41aedb29f3e618

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c549527723db62892de1240f061fda5cfd96c1eb1aa91e1e2ddca62edb28e670",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-04-09T12:14:11Z",
    "title_canon_sha256": "ed54742c2cc51e3c7d37a12817b27bc446447a7690b0cee2893f3cd89fbb749d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.2456",
    "kind": "arxiv",
    "version": 1
  }
}