Pith Number

pith:7RPHGQQV

pith:2014:7RPHGQQVXL4Z4YJUTSYDOLGUWT

not attested not anchored not stored refs pending

The automorphism group of a shift of subquadratic growth

Bryna Kra, Van Cyr

arxiv:1403.0238 v1 · 2014-03-02 · 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{7RPHGQQVXL4Z4YJUTSYDOLGUWT}

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	2026-05-18T02:57:25.376883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc5e734215baf99e61349cb0372cd4b4dfae160cee95a2526f2908d71c4d7180

Aliases

arxiv: 1403.0238 · arxiv_version: 1403.0238v1 · doi: 10.48550/arxiv.1403.0238 · pith_short_12: 7RPHGQQVXL4Z · pith_short_16: 7RPHGQQVXL4Z4YJU · pith_short_8: 7RPHGQQV

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/7RPHGQQVXL4Z4YJUTSYDOLGUWT \
  | 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: fc5e734215baf99e61349cb0372cd4b4dfae160cee95a2526f2908d71c4d7180

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c587d862d21a7e9ca281229a1dd61943ae6b4f0287803468eeeaad940176dc8e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-03-02T16:54:45Z",
    "title_canon_sha256": "c5fa03cea7846540214e5d48eed449579b442fc762511df8c61c272cf7584142"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.0238",
    "kind": "arxiv",
    "version": 1
  }
}