Pith Number

pith:Q2VFSOHA

pith:1994:Q2VFSOHAJVWXTTBU2STUCWISUN

not attested not anchored not stored refs pending

Notes on the connectivity of Cayley coset digraphs

Emanuel Knill

arxiv:math/9411221 v1 · 1994-11-10 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q2VFSOHAJVWXTTBU2STUCWISUN}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:05:50.861597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86aa5938e04d6d79cc34d4a7415912a36b205fa251978b24d99f2bc9e146d266

Aliases

arxiv: math/9411221 · arxiv_version: math/9411221v1 · doi: 10.48550/arxiv.math/9411221 · pith_short_12: Q2VFSOHAJVWX · pith_short_16: Q2VFSOHAJVWXTTBU · pith_short_8: Q2VFSOHA

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/Q2VFSOHAJVWXTTBU2STUCWISUN \
  | 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: 86aa5938e04d6d79cc34d4a7415912a36b205fa251978b24d99f2bc9e146d266

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7047602cac4dc8b0366a14606fcb92621d13b361963da1ee23111e20aa9edaa8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "1994-11-10T00:00:00Z",
    "title_canon_sha256": "b8f0669b6a4691b052b5f5aa6e8624dca872ba49e8f5c3b02ba8b655752f1f43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9411221",
    "kind": "arxiv",
    "version": 1
  }
}