Pith Number

pith:RYHIIGFY

pith:2012:RYHIIGFYQMVUOCHB24WSWG6LGP

not attested not anchored not stored refs pending

Universal Witnesses for State Complexity of Boolean Operations and Concatenation Combined with Star

David Liu, Janusz Brzozowski

arxiv:1207.1982 v1 · 2012-07-09 · cs.FL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RYHIIGFYQMVUOCHB24WSWG6LGP}

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	2026-05-18T03:51:26.404545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e0e8418b8832b4708e1d72d2b1bcb33fa01642f4b2ea17136329c0c03b492ff

Aliases

arxiv: 1207.1982 · arxiv_version: 1207.1982v1 · doi: 10.48550/arxiv.1207.1982 · pith_short_12: RYHIIGFYQMVU · pith_short_16: RYHIIGFYQMVUOCHB · pith_short_8: RYHIIGFY

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/RYHIIGFYQMVUOCHB24WSWG6LGP \
  | 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: 8e0e8418b8832b4708e1d72d2b1bcb33fa01642f4b2ea17136329c0c03b492ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10f00cf02f092ace0be1870851e3ff5f7fc82b4d0e8d30c426ba2be988e7a7ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2012-07-09T08:26:38Z",
    "title_canon_sha256": "dc7a2b44482c06ff7a90b089872d18c2a0141dff3fd4b6411b4759aa3f4ff48a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1982",
    "kind": "arxiv",
    "version": 1
  }
}