Pith Number

pith:3BEC3SK2

pith:2009:3BEC3SK2Z755TCNFECDXJWZST4

not attested not anchored not stored refs pending

A construction of imprimitive symmetric graphs which are not multicovers of their quotients

Bin Jia

arxiv:0905.2516 v3 · 2009-05-15 · math.CO · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3BEC3SK2Z755TCNFECDXJWZST4}

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	2026-05-18T02:30:08.988830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8482dc95acffbd989a5208774db329f2eab7b8e889e81a7c402af9763134e11

Aliases

arxiv: 0905.2516 · arxiv_version: 0905.2516v3 · doi: 10.48550/arxiv.0905.2516 · pith_short_12: 3BEC3SK2Z755 · pith_short_16: 3BEC3SK2Z755TCNF · pith_short_8: 3BEC3SK2

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/3BEC3SK2Z755TCNFECDXJWZST4 \
  | 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: d8482dc95acffbd989a5208774db329f2eab7b8e889e81a7c402af9763134e11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5220aa3c7a48a8df09193cd8f5860f0644a0d96a96e6a3505ec05d73313da1a",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-05-15T10:38:02Z",
    "title_canon_sha256": "6462ef8fcdc838f757bae4a5b54e5f0a8aff6d6eb2ab7126331154d75962753d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.2516",
    "kind": "arxiv",
    "version": 3
  }
}