Pith Number

pith:PLAYQ4CL

pith:2012:PLAYQ4CLKTVOHUTGMFOYJNTLFN

not attested not anchored not stored refs pending

Locally arc-transitive graphs of valence $\{3,4\}$ with trivial edge kernel

Primo\v{z} Poto\v{c}nik

arxiv:1210.3979 v1 · 2012-10-15 · math.CO · 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{PLAYQ4CLKTVOHUTGMFOYJNTLFN}

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	2026-05-18T03:43:08.395883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ac188704b54eae3d266615d84b66b2b6623c605a19f3ed058ebcf462cd58590

Aliases

arxiv: 1210.3979 · arxiv_version: 1210.3979v1 · doi: 10.48550/arxiv.1210.3979 · pith_short_12: PLAYQ4CLKTVO · pith_short_16: PLAYQ4CLKTVOHUTG · pith_short_8: PLAYQ4CL

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/PLAYQ4CLKTVOHUTGMFOYJNTLFN \
  | 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: 7ac188704b54eae3d266615d84b66b2b6623c605a19f3ed058ebcf462cd58590

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7096544d80cdd4807c65fdc8ec284907caa41dc0db8fc5e0c41eca1d3cc4a910",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-15T11:12:57Z",
    "title_canon_sha256": "6b5963e2168ffbbc41a30fd85d73f7e5d850429188f461edcd15a7ffe5882ea9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3979",
    "kind": "arxiv",
    "version": 1
  }
}