Pith Number

pith:A4MQBYHI

pith:2015:A4MQBYHIS7PQDHY2AAPCJ3BZ4L

not attested not anchored not stored refs pending

Flow equivalence of sofic shifts

Mike Boyle, S{\o}ren Eilers, Toke Meier Carlsen

arxiv:1511.03481 v2 · 2015-11-11 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A4MQBYHIS7PQDHY2AAPCJ3BZ4L}

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	2026-05-18T00:04:05.455560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

071900e0e897df019f1a001e24ec39e2e2effa6407395856f5c9b67e8bfa766b

Aliases

arxiv: 1511.03481 · arxiv_version: 1511.03481v2 · doi: 10.48550/arxiv.1511.03481 · pith_short_12: A4MQBYHIS7PQ · pith_short_16: A4MQBYHIS7PQDHY2 · pith_short_8: A4MQBYHI

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/A4MQBYHIS7PQDHY2AAPCJ3BZ4L \
  | 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: 071900e0e897df019f1a001e24ec39e2e2effa6407395856f5c9b67e8bfa766b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7685a0f993ecc0e5223e41f4d1de25310ff1e2fa3b76d22c9de13d517e667c24",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-11-11T12:51:19Z",
    "title_canon_sha256": "14525186ad4eaa06f718f6c65ccded025faf30c2e1940ae24641ebc1fa8678df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03481",
    "kind": "arxiv",
    "version": 2
  }
}