Pith Number

pith:ELU4433F

pith:2014:ELU4433FAHLOP2V2OQZ4WN7XQX

not attested not anchored not stored refs pending

Spectral analysis of transition operators, Automata groups and translation in BBS

Andrzej Zuk, Satoshi Tsujimoto, Tsuyoshi Kato

arxiv:1406.5557 v2 · 2014-06-20 · math.SP · math.GR · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ELU4433FAHLOP2V2OQZ4WN7XQX}

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	2026-05-18T01:15:53.354856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22e9ce6f6501d6e7eaba7433cb37f785deae2337292613b0d8215a6091e493a5

Aliases

arxiv: 1406.5557 · arxiv_version: 1406.5557v2 · doi: 10.48550/arxiv.1406.5557 · pith_short_12: ELU4433FAHLO · pith_short_16: ELU4433FAHLOP2V2 · pith_short_8: ELU4433F

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/ELU4433FAHLOP2V2OQZ4WN7XQX \
  | 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: 22e9ce6f6501d6e7eaba7433cb37f785deae2337292613b0d8215a6091e493a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63961743cd645d06ff8e3aadf31990d151aa13e95dd077d84e884b93d987865c",
    "cross_cats_sorted": [
      "math.GR",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2014-06-20T23:43:21Z",
    "title_canon_sha256": "878e8d3ba95e78f478f5644f1b6fa5a7fe4c6a99aa21b00740aa6c9c6c979a8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.5557",
    "kind": "arxiv",
    "version": 2
  }
}