Pith Number

pith:KZRADJWZ

pith:2011:KZRADJWZ3OMEPK7IG3TDLRT36G

not attested not anchored not stored refs pending

Modifying the upper bound on the length of minimal synchronizing word

A. N. Trahtman

arxiv:1104.2409 v7 · 2011-04-13 · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KZRADJWZ3OMEPK7IG3TDLRT36G}

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	2026-05-18T02:55:57.764612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

566201a6d9db9847abe836e635c67bf199f212a3bd02cd73731413f78a9b6b29

Aliases

arxiv: 1104.2409 · arxiv_version: 1104.2409v7 · doi: 10.48550/arxiv.1104.2409 · pith_short_12: KZRADJWZ3OME · pith_short_16: KZRADJWZ3OMEPK7I · pith_short_8: KZRADJWZ

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/KZRADJWZ3OMEPK7IG3TDLRT36G \
  | 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: 566201a6d9db9847abe836e635c67bf199f212a3bd02cd73731413f78a9b6b29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e365804add508f630fa6cd06a891b5c663a0b448cddb62b26078a4fbd287ccf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2011-04-13T08:26:43Z",
    "title_canon_sha256": "ee98445f0d5f87a2924c0e265a3187b3e2ac4b81928add407436baf8e367de34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2409",
    "kind": "arxiv",
    "version": 7
  }
}