Pith Number

pith:YXJA32ZB

pith:2016:YXJA32ZBKXI3PVAAVF7WT3HOMC

not attested not anchored not stored refs pending

Distortion and the automorphism group of a shift

Bryna Kra, John Franks, Samuel Petite, Van Cyr

arxiv:1611.05913 v2 · 2016-11-17 · 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{YXJA32ZBKXI3PVAAVF7WT3HOMC}

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	2026-05-18T00:38:18.485553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5d20deb2155d1b7d400a97f69ecee60a9706eb62abd35816c65c765a952bd43

Aliases

arxiv: 1611.05913 · arxiv_version: 1611.05913v2 · doi: 10.48550/arxiv.1611.05913 · pith_short_12: YXJA32ZBKXI3 · pith_short_16: YXJA32ZBKXI3PVAA · pith_short_8: YXJA32ZB

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/YXJA32ZBKXI3PVAAVF7WT3HOMC \
  | 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: c5d20deb2155d1b7d400a97f69ecee60a9706eb62abd35816c65c765a952bd43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "849e10042ce75da26a56c34d4f9200bebdcce02bf5865f88a935554c18059656",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-11-17T21:55:22Z",
    "title_canon_sha256": "c5c80d0fe5edd687648f1a81d526279fe9ba6b074a0eee19ac09279602fd8224"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.05913",
    "kind": "arxiv",
    "version": 2
  }
}