Pith Number

pith:3SPAET44

pith:2016:3SPAET44NIL5WTJS3PU32G4X3M

not attested not anchored not stored refs pending

Weak oddness as an approximation of oddness and resistance in cubic graphs

J\'an Maz\'ak, Robert Luko\v{t}ka

arxiv:1602.02949 v1 · 2016-02-09 · cs.DM · 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{3SPAET44NIL5WTJS3PU32G4X3M}

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	2026-05-18T01:21:06.017780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc9e024f9c6a17db4d32dbe9bd1b97db110caab76edb5b3c9f36fcb05c5edf66

Aliases

arxiv: 1602.02949 · arxiv_version: 1602.02949v1 · doi: 10.48550/arxiv.1602.02949 · pith_short_12: 3SPAET44NIL5 · pith_short_16: 3SPAET44NIL5WTJS · pith_short_8: 3SPAET44

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/3SPAET44NIL5WTJS3PU32G4X3M \
  | 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: dc9e024f9c6a17db4d32dbe9bd1b97db110caab76edb5b3c9f36fcb05c5edf66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a47dd1c63da62ae49272ce3b629aa6587d8747438ada83e805a92a68b4f1715a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2016-02-09T11:58:14Z",
    "title_canon_sha256": "999c6298dac6456fb702b78dbcb5a263e27d9d536765c6dd48ae6604765b9fd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.02949",
    "kind": "arxiv",
    "version": 1
  }
}