Pith Number

pith:BQEG7RC6

pith:2021:BQEG7RC6UKSSKMQPCRL7BDWVUB

not attested not anchored not stored refs pending

Typical large graphs with given edge and triangle densities

Charles Radin, Joe Neeman, Lorenzo Sadun

arxiv:2110.14052 v2 · 2021-10-26 · math.PR · math-ph · math.CO · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BQEG7RC6UKSSKMQPCRL7BDWVUB}

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.

Cited by

1 paper in Pith

Emergence in graphs with near-extreme constraints

Receipt and verification

First computed	2026-07-05T04:09:58.799473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c086fc45ea2a525320f1457f08ed5a070ec9d1f2136e07f7ca222f511e1d98a

Aliases

arxiv: 2110.14052 · arxiv_version: 2110.14052v2 · doi: 10.48550/arxiv.2110.14052 · pith_short_12: BQEG7RC6UKSS · pith_short_16: BQEG7RC6UKSSKMQP · pith_short_8: BQEG7RC6

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/BQEG7RC6UKSSKMQPCRL7BDWVUB \
  | 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: 0c086fc45ea2a525320f1457f08ed5a070ec9d1f2136e07f7ca222f511e1d98a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0640321eafdd1f1a470e6b34506e8d3bc31201844042211e3f142df139f1c152",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-10-26T22:06:41Z",
    "title_canon_sha256": "18a3f509a3e0fdf0d78d2421369499151fff036f1715268552076c9d042af6d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.14052",
    "kind": "arxiv",
    "version": 2
  }
}