Pith Number

pith:ZO2XYKRD

pith:2014:ZO2XYKRDF2E6VRVJKVBDX77J7Y

not attested not anchored not stored refs pending

Connectivity Thresholds for Bounded Size Rules

Angelika Steger, Frank Mousset, Hafsteinn Einarsson, Johannes Lengler, Konstantinos Panagiotou

arxiv:1410.3285 v1 · 2014-10-13 · math.PR · 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{ZO2XYKRDF2E6VRVJKVBDX77J7Y}

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	2026-05-18T02:40:11.646083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbb57c2a232e89eac6a955423bffe9fe2c35c78d859431316654e6380327758a

Aliases

arxiv: 1410.3285 · arxiv_version: 1410.3285v1 · doi: 10.48550/arxiv.1410.3285 · pith_short_12: ZO2XYKRDF2E6 · pith_short_16: ZO2XYKRDF2E6VRVJ · pith_short_8: ZO2XYKRD

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/ZO2XYKRDF2E6VRVJKVBDX77J7Y \
  | 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: cbb57c2a232e89eac6a955423bffe9fe2c35c78d859431316654e6380327758a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f62d537ce45bdf4f6db7a760d92156b7364f5fa73e2eb219e8adbc95199c4abf",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-10-13T12:44:31Z",
    "title_canon_sha256": "81bb8e23022f5b0da98681e622b8e95e49387aba46fbb09f5c76c722f60fbe44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.3285",
    "kind": "arxiv",
    "version": 1
  }
}