Pith Number

pith:F373SAH5

pith:2016:F373SAH57ZP54Z22IVYWMASZJU

not attested not anchored not stored refs pending

A stability result using the matrix norm to bound the permanent

Pat Devlin, Ross Berkowitz

arxiv:1606.07474 v1 · 2016-06-23 · math.CO · 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{F373SAH57ZP54Z22IVYWMASZJU}

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	2026-05-18T01:11:58.050646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2effb900fdfe5fde675a45716602594d03cab1b901843807c3adff5ff15f1874

Aliases

arxiv: 1606.07474 · arxiv_version: 1606.07474v1 · doi: 10.48550/arxiv.1606.07474 · pith_short_12: F373SAH57ZP5 · pith_short_16: F373SAH57ZP54Z22 · pith_short_8: F373SAH5

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/F373SAH57ZP54Z22IVYWMASZJU \
  | 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: 2effb900fdfe5fde675a45716602594d03cab1b901843807c3adff5ff15f1874

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a8380c2c5eb27aa69424d53de4d2ef8bdb201a18c3db325c0195133a10fdb33",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-06-23T20:54:47Z",
    "title_canon_sha256": "7fbe58f29fc6df31f7e988c408eba83cf1ca66d5466b20f19129194e3061e8ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07474",
    "kind": "arxiv",
    "version": 1
  }
}