Pith Number

pith:O6P3EIJW

pith:2014:O6P3EIJWAJM6W3E3GBFIUJ4MMK

not attested not anchored not stored refs pending

The strong giant in a random digraph

Mathew D. Penrose

arxiv:1409.4371 v3 · 2014-09-15 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O6P3EIJWAJM6W3E3GBFIUJ4MMK}

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	2026-05-18T02:17:54.443090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

779fb221360259eb6c9b304a8a278c6296f41926068bc2dc21923f5bd6767495

Aliases

arxiv: 1409.4371 · arxiv_version: 1409.4371v3 · doi: 10.48550/arxiv.1409.4371 · pith_short_12: O6P3EIJWAJM6 · pith_short_16: O6P3EIJWAJM6W3E3 · pith_short_8: O6P3EIJW

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/O6P3EIJWAJM6W3E3GBFIUJ4MMK \
  | 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: 779fb221360259eb6c9b304a8a278c6296f41926068bc2dc21923f5bd6767495

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dffe54f3b6c4c8dc909dc2e3cd355c60fe9543ec8fb44952104fac02ab6fd9ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-09-15T18:39:05Z",
    "title_canon_sha256": "53c16ea6820d1c52c60729ba9464704722454b0ccb6377ca5116476576d6a695"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.4371",
    "kind": "arxiv",
    "version": 3
  }
}