Pith Number

pith:QVYQF4QF

pith:2011:QVYQF4QFHLB27IIHXJTYXRNMZ4

not attested not anchored not stored refs pending

Constructing highly arc transitive digraphs using a layerwise direct product

Christoph Neumann

arxiv:1111.1075 v2 · 2011-11-04 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QVYQF4QFHLB27IIHXJTYXRNMZ4}

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	2026-05-18T04:08:44.279941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

857102f2053ac3afa107ba678bc5accf315e3d4679d08e11f1b40ce8afa4a0a6

Aliases

arxiv: 1111.1075 · arxiv_version: 1111.1075v2 · doi: 10.48550/arxiv.1111.1075 · pith_short_12: QVYQF4QFHLB2 · pith_short_16: QVYQF4QFHLB27IIH · pith_short_8: QVYQF4QF

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/QVYQF4QFHLB27IIHXJTYXRNMZ4 \
  | 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: 857102f2053ac3afa107ba678bc5accf315e3d4679d08e11f1b40ce8afa4a0a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8b5201c9e06d2b81f9fbe5afa5c85290429d7ed0bae7c16a6e65088969e7221",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-11-04T09:24:03Z",
    "title_canon_sha256": "7e46c22e3343e7572d1f9796b315128d57429184b1996c4e9c29072596edaac3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1075",
    "kind": "arxiv",
    "version": 2
  }
}