Pith Number

pith:HCGTMAEJ

pith:2012:HCGTMAEJMVBHBRP6V2DE7IXNRW

not attested not anchored not stored refs pending

Genus Ranges of 4-Regular Rigid Vertex Graphs

Dorothy Buck, Egor Dolzhenko, Karin Valencia, Masahico Saito, Natasha Jonoska

arxiv:1211.4939 v1 · 2012-11-21 · math.GT · 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{HCGTMAEJMVBHBRP6V2DE7IXNRW}

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	2026-05-18T03:40:15.462969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

388d360089654270c5feae864fa2ed8d890aa24955ab26753cfcd5b530666e34

Aliases

arxiv: 1211.4939 · arxiv_version: 1211.4939v1 · doi: 10.48550/arxiv.1211.4939 · pith_short_12: HCGTMAEJMVBH · pith_short_16: HCGTMAEJMVBHBRP6 · pith_short_8: HCGTMAEJ

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/HCGTMAEJMVBHBRP6V2DE7IXNRW \
  | 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: 388d360089654270c5feae864fa2ed8d890aa24955ab26753cfcd5b530666e34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb30dd2257c5a5c779fc25769222fec61b5d10851bc4a19695860573b42049bf",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-11-21T05:27:21Z",
    "title_canon_sha256": "cf1c7463f7facf8033656ca3996c286764baa7b3a3a7c448b0c1c46198325205"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4939",
    "kind": "arxiv",
    "version": 1
  }
}