Pith Number

pith:QG3NDQAL

pith:2013:QG3NDQALNYKLTRFDHFBCG7ZZIY

not attested not anchored not stored refs pending

Gap Theorems for the Delay of Circuits Simulating Finite Automata

Connor Ahlbach, Jeremy Usatine, Nicholas Pippenger

arxiv:1308.2970 v1 · 2013-08-13 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QG3NDQALNYKLTRFDHFBCG7ZZIY}

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	2026-05-18T03:15:57.060508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81b6d1c00b6e14b9c4a33942237f39463af18446c812357d0806f26cb5d16f82

Aliases

arxiv: 1308.2970 · arxiv_version: 1308.2970v1 · doi: 10.48550/arxiv.1308.2970 · pith_short_12: QG3NDQALNYKL · pith_short_16: QG3NDQALNYKLTRFD · pith_short_8: QG3NDQAL

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/QG3NDQALNYKLTRFDHFBCG7ZZIY \
  | 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: 81b6d1c00b6e14b9c4a33942237f39463af18446c812357d0806f26cb5d16f82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd147cfcc00d5ca1e09f82af1413bc4d7b19468910b15e9768efad16cdaeb1e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2013-08-13T20:09:06Z",
    "title_canon_sha256": "59ee9809404204195d4ccae3abf1812d2cfb959ab0d421040b302e3078096a50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2970",
    "kind": "arxiv",
    "version": 1
  }
}