Pith Number

pith:WNJ3DQFA

pith:2012:WNJ3DQFAAMISCGBXECOTZV6HQD

not attested not anchored not stored refs pending

On Derivatives and Subpattern Orders of Countable Subshifts

Finland), Ilkka T\"orm\"a (University of Turku, Ville Salo (University of Turku

arxiv:1208.2756 v1 · 2012-08-14 · 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{WNJ3DQFAAMISCGBXECOTZV6HQD}

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	2026-05-18T03:48:47.424760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b353b1c0a00311211837209d3cd7c780e8674466fa0547620fdcc53ced7d0d2f

Aliases

arxiv: 1208.2756 · arxiv_version: 1208.2756v1 · doi: 10.48550/arxiv.1208.2756 · pith_short_12: WNJ3DQFAAMIS · pith_short_16: WNJ3DQFAAMISCGBX · pith_short_8: WNJ3DQFA

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/WNJ3DQFAAMISCGBXECOTZV6HQD \
  | 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: b353b1c0a00311211837209d3cd7c780e8674466fa0547620fdcc53ced7d0d2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "694b6461b7949b593a85958571b121a7d9dfd5279a30d10a674ba084bfeedc8b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2012-08-14T01:54:35Z",
    "title_canon_sha256": "ff6f6299dc2a0c748d2d855f28c0edc236abf401c14e62e0fc83a05e37fe27da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2756",
    "kind": "arxiv",
    "version": 1
  }
}