Pith Number

pith:O6OZ7WDE

pith:2016:O6OZ7WDEQSX6HUGIFL3HL4J5SE

not attested not anchored not stored refs pending

A countdown process, with application to the rank of random matrices over $\mathbb F_q(n)$

Michael Earnest, Richard Arratia

arxiv:1605.04352 v2 · 2016-05-13 · 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{O6OZ7WDEQSX6HUGIFL3HL4J5SE}

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

Resource-Theoretic Quantifiers of Weak and Strong Symmetry Breaking: Strong Entanglement Asymmetry and Beyond

Receipt and verification

First computed	2026-05-18T01:14:20.201464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

779d9fd86484afe3d0c82af675f13d9137d75f0ad08d1dbb0e246f0652c46258

Aliases

arxiv: 1605.04352 · arxiv_version: 1605.04352v2 · doi: 10.48550/arxiv.1605.04352 · pith_short_12: O6OZ7WDEQSX6 · pith_short_16: O6OZ7WDEQSX6HUGI · pith_short_8: O6OZ7WDE

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/O6OZ7WDEQSX6HUGIFL3HL4J5SE \
  | 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: 779d9fd86484afe3d0c82af675f13d9137d75f0ad08d1dbb0e246f0652c46258

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc567246299cb91c0ac3a03b30d6710537769bed74bd14f19eb1d8537b64063c",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-05-13T23:43:40Z",
    "title_canon_sha256": "131a944896c5fce2c011d6b187a496bb37fbbe657f9a4e4671a5f20ed01f6664"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.04352",
    "kind": "arxiv",
    "version": 2
  }
}