Pith Number

pith:3CWHA3OM

pith:2011:3CWHA3OMCTGJMVD7EITALQUNIQ

not attested not anchored not stored refs pending

On images of sofic systems

Wolfgang Krieger

arxiv:1101.1750 v2 · 2011-01-10 · 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{3CWHA3OMCTGJMVD7EITALQUNIQ}

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	2026-05-18T00:26:58.111918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8ac706dcc14cc96547f222605c28d44108110f3da189600948b67692065a679

Aliases

arxiv: 1101.1750 · arxiv_version: 1101.1750v2 · doi: 10.48550/arxiv.1101.1750 · pith_short_12: 3CWHA3OMCTGJ · pith_short_16: 3CWHA3OMCTGJMVD7 · pith_short_8: 3CWHA3OM

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/3CWHA3OMCTGJMVD7EITALQUNIQ \
  | 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: d8ac706dcc14cc96547f222605c28d44108110f3da189600948b67692065a679

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "859b3912fd9550c1c3dc88a896a98b966a4c04b7e1f6138cdbd360567f5a4af5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-01-10T09:46:36Z",
    "title_canon_sha256": "1bd08e2f7f82f10d6e8f6ca8d8ad4c02b3b94809e7ec88c70595bb179bd79200"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1750",
    "kind": "arxiv",
    "version": 2
  }
}