Pith Number

pith:N4BO6VF7

pith:2004:N4BO6VF7G7VDIXMJHZSMNJBLVQ

not attested not anchored not stored refs pending

Bounding Fastest Mixing

S. Roch

arxiv:math/0409429 v1 · 2004-09-22 · math.PR · cs.DM · math.CO · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N4BO6VF7G7VDIXMJHZSMNJBLVQ}

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	2026-05-18T04:14:05.020672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f02ef54bf37ea345d893e64c6a42bac1ab50c132083ca7e56aa121be06a25ea

Aliases

arxiv: math/0409429 · arxiv_version: math/0409429v1 · doi: 10.48550/arxiv.math/0409429 · pith_short_12: N4BO6VF7G7VD · pith_short_16: N4BO6VF7G7VDIXMJ · pith_short_8: N4BO6VF7

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/N4BO6VF7G7VDIXMJHZSMNJBLVQ \
  | 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: 6f02ef54bf37ea345d893e64c6a42bac1ab50c132083ca7e56aa121be06a25ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea1a9c218b6e83876d637ebb5c66cebaeb9841ff80e1ecf8c8dd1b8a1f74ca66",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO",
      "math.ST",
      "stat.TH"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2004-09-22T12:32:25Z",
    "title_canon_sha256": "c704341a1fb122a36f802407690f224440124e4ff8a845232f3823b89792b559"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0409429",
    "kind": "arxiv",
    "version": 1
  }
}