Pith Number

pith:Y2YVASZB

pith:2021:Y2YVASZBB3REOU6OW4IO666YHT

not attested not anchored not stored refs pending

On proportional network connectivity

Ashley Armbruster, Jieqi Di, Nathan Shank, Nicholas Hanson

arxiv:2106.16242 v2 · 2021-06-30 · 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{Y2YVASZBB3REOU6OW4IO666YHT}

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	2026-07-05T03:00:10.060511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6b1504b210ee24753ceb710ef7bd83ce1bf794b35e21827bb5dfe5560ffab8e

Aliases

arxiv: 2106.16242 · arxiv_version: 2106.16242v2 · doi: 10.48550/arxiv.2106.16242 · pith_short_12: Y2YVASZBB3RE · pith_short_16: Y2YVASZBB3REOU6O · pith_short_8: Y2YVASZB

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/Y2YVASZBB3REOU6OW4IO666YHT \
  | 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: c6b1504b210ee24753ceb710ef7bd83ce1bf794b35e21827bb5dfe5560ffab8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07a617c6209d43fa85f966944b68b01749ca6e934c89eebd1592a1bb4c0c0da4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-06-30T17:52:24Z",
    "title_canon_sha256": "dad49db3b1a7073d84ee6ade9cb1815fc4c0a546c4a533ab8c70779952815a18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.16242",
    "kind": "arxiv",
    "version": 2
  }
}