Pith Number

pith:XLBILVHF

pith:2011:XLBILVHF36AUXUXQAAJOVAZQHG

not attested not anchored not stored refs pending

On the number of fixed points of sofic flip systems

Sieye Ryu, Young-One Kim

arxiv:1112.4706 v1 · 2011-12-20 · 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{XLBILVHF36AUXUXQAAJOVAZQHG}

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	2026-05-18T04:05:58.210511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bac285d4e5df814bd2f00012ea8330398dc22d7310769d481a4cc9bf5cea1c72

Aliases

arxiv: 1112.4706 · arxiv_version: 1112.4706v1 · doi: 10.48550/arxiv.1112.4706 · pith_short_12: XLBILVHF36AU · pith_short_16: XLBILVHF36AUXUXQ · pith_short_8: XLBILVHF

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/XLBILVHF36AUXUXQAAJOVAZQHG \
  | 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: bac285d4e5df814bd2f00012ea8330398dc22d7310769d481a4cc9bf5cea1c72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86bcb086d7bc29d0e87ad724c98aa382f7c81ad8ee137f6284312056c21e5ecb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-12-20T14:37:54Z",
    "title_canon_sha256": "a5e6aa1fad0225a37ec2cbed9c57bd4a12fc4ae11635e1891c59c93cb2b669ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4706",
    "kind": "arxiv",
    "version": 1
  }
}