Pith Number

pith:HOOTEARP

pith:2013:HOOTEARPXSQ6A22UBROBA3N5UT

not attested not anchored not stored refs pending

On Shift Dynamics For Cyclically Presented Groups

William A. Bogley

arxiv:1312.5382 v1 · 2013-12-19 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HOOTEARPXSQ6A22UBROBA3N5UT}

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	2026-05-18T00:54:15.951582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b9d32022fbca1e06b540c5c106dbda4ca0e1dfa9ddf8ff2968166c9d575af85

Aliases

arxiv: 1312.5382 · arxiv_version: 1312.5382v1 · doi: 10.48550/arxiv.1312.5382 · pith_short_12: HOOTEARPXSQ6 · pith_short_16: HOOTEARPXSQ6A22U · pith_short_8: HOOTEARP

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/HOOTEARPXSQ6A22UBROBA3N5UT \
  | 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: 3b9d32022fbca1e06b540c5c106dbda4ca0e1dfa9ddf8ff2968166c9d575af85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53ae2145f80396823fe58ef2e293e45865b643f5a16983e1f59c0b76aba10301",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-12-19T00:56:14Z",
    "title_canon_sha256": "7d5371021b933d4411891673660be6405a94aafec9128c2140a3cb59419ba3a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5382",
    "kind": "arxiv",
    "version": 1
  }
}