Pith Number

pith:S6VZ2QXH

pith:2013:S6VZ2QXH5EK44A764TQBLIUHIA

not attested not anchored not stored refs pending

Camina pairs that are not $p$-closed

Mark L. Lewis

arxiv:1308.6187 v1 · 2013-08-28 · 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{S6VZ2QXH5EK44A764TQBLIUHIA}

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	2026-05-18T03:14:48.874417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97ab9d42e7e915ce03fee4e015a287401397e18c3e070e1dcebb29d0215c691f

Aliases

arxiv: 1308.6187 · arxiv_version: 1308.6187v1 · doi: 10.48550/arxiv.1308.6187 · pith_short_12: S6VZ2QXH5EK4 · pith_short_16: S6VZ2QXH5EK44A76 · pith_short_8: S6VZ2QXH

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/S6VZ2QXH5EK44A764TQBLIUHIA \
  | 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: 97ab9d42e7e915ce03fee4e015a287401397e18c3e070e1dcebb29d0215c691f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "094f444e0e13e7a62691f67445aed846b7cdfb89cbfcbbe3c4f4b6127bfde516",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-08-28T15:32:58Z",
    "title_canon_sha256": "676ced00e63ea06c0013a84cb4adb1c913febc82ec04850d2f4dc39a7a13d0be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.6187",
    "kind": "arxiv",
    "version": 1
  }
}