Pith Number

pith:KRERXMFZ

pith:2015:KRERXMFZJ76C3ZJCPIL3HYKCCL

not attested not anchored not stored refs pending

Algorithmic recognition of infinite cyclic extensions

Bren Cavallo, Delaram Kahrobaei, Enric Ventura, Jordi Delgado

arxiv:1509.05879 v2 · 2015-09-19 · 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{KRERXMFZJ76C3ZJCPIL3HYKCCL}

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	2026-05-18T01:03:31.066982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54491bb0b94ffc2de5227a17b3e14212e6639847286c16f48378de429ef758a3

Aliases

arxiv: 1509.05879 · arxiv_version: 1509.05879v2 · doi: 10.48550/arxiv.1509.05879 · pith_short_12: KRERXMFZJ76C · pith_short_16: KRERXMFZJ76C3ZJC · pith_short_8: KRERXMFZ

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/KRERXMFZJ76C3ZJCPIL3HYKCCL \
  | 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: 54491bb0b94ffc2de5227a17b3e14212e6639847286c16f48378de429ef758a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f189c17e78fdf208069e0f433ee761363ca4f9e4c23d405a96283dc19b2b031e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-09-19T11:59:14Z",
    "title_canon_sha256": "fcdd12f6adad21f0d8f02816c01897abdf57c40bb6efc440835188089d35d6b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05879",
    "kind": "arxiv",
    "version": 2
  }
}