Pith Number

pith:FOOC6XSR

pith:2018:FOOC6XSRFQ52V5LKIZM2HDZYJ4

not attested not anchored not stored refs pending

On coherence of graph products and Coxeter groups

Olga Varghese

arxiv:1807.07802 v1 · 2018-07-20 · 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{FOOC6XSRFQ52V5LKIZM2HDZYJ4}

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	2026-05-18T00:10:15.609520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b9c2f5e512c3baaf56a4659a38f384f3590f2731e96e8de3b3f2248377721a2

Aliases

arxiv: 1807.07802 · arxiv_version: 1807.07802v1 · doi: 10.48550/arxiv.1807.07802 · pith_short_12: FOOC6XSRFQ52 · pith_short_16: FOOC6XSRFQ52V5LK · pith_short_8: FOOC6XSR

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/FOOC6XSRFQ52V5LKIZM2HDZYJ4 \
  | 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: 2b9c2f5e512c3baaf56a4659a38f384f3590f2731e96e8de3b3f2248377721a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08dae891c96ef588c72336971bdab4d63ad7760545e181f011b1dc591417185e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-07-20T12:00:12Z",
    "title_canon_sha256": "60174db037ce5b8567b6e228fa683cd6944fc9c15247e65804dadb9cb96f5e7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.07802",
    "kind": "arxiv",
    "version": 1
  }
}