Pith Number

pith:X7IOTIBJ

pith:2015:X7IOTIBJV6PNWXZ4YP2RP7WSAA

not attested not anchored not stored refs pending

The automorphism group of a minimal shift of stretched exponential growth

Bryna Kra, Van Cyr

arxiv:1509.08493 v1 · 2015-09-28 · 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{X7IOTIBJV6PNWXZ4YP2RP7WSAA}

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	2026-05-18T01:31:52.527648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfd0e9a029af9edb5f3cc3f517fed2001a2921e18a093e4d32466197c8b06b15

Aliases

arxiv: 1509.08493 · arxiv_version: 1509.08493v1 · doi: 10.48550/arxiv.1509.08493 · pith_short_12: X7IOTIBJV6PN · pith_short_16: X7IOTIBJV6PNWXZ4 · pith_short_8: X7IOTIBJ

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/X7IOTIBJV6PNWXZ4YP2RP7WSAA \
  | 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: bfd0e9a029af9edb5f3cc3f517fed2001a2921e18a093e4d32466197c8b06b15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8574bf034fea0389e0aac1d81cfece1e6c8fcebdc2793e6f2d84329c19eb0ae1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-09-28T20:36:55Z",
    "title_canon_sha256": "2c5cbbe73527b8b1ec630ae14db81eb679c9d6e40fae71e49a901311c9ffd07e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08493",
    "kind": "arxiv",
    "version": 1
  }
}