Pith Number

pith:MPUUTT7J

pith:2015:MPUUTT7JTQ5THH6R5UEKIZSMBT

not attested not anchored not stored refs pending

3-connected Reduction for Regular Graph Covers

Jan Kratochv\'il, Ji\v{r}\'i Fiala, Pavel Klav\'ik, Roman Nedela

arxiv:1503.06556 v4 · 2015-03-23 · 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{MPUUTT7JTQ5THH6R5UEKIZSMBT}

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	2026-05-18T00:20:49.534236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63e949cfe99c3b339fd1ed08a4664c0ce5c2d1487a4c72515a8bca591aabfd00

Aliases

arxiv: 1503.06556 · arxiv_version: 1503.06556v4 · doi: 10.48550/arxiv.1503.06556 · pith_short_12: MPUUTT7JTQ5T · pith_short_16: MPUUTT7JTQ5THH6R · pith_short_8: MPUUTT7J

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/MPUUTT7JTQ5THH6R5UEKIZSMBT \
  | 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: 63e949cfe99c3b339fd1ed08a4664c0ce5c2d1487a4c72515a8bca591aabfd00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a71b0f923464c8bb08f20717acafe48fd32ce4f4f90007aa52745992969d4745",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-03-23T08:52:13Z",
    "title_canon_sha256": "9b1f28f0580a5b0e6cc446fe3fc433bb26909ff9efb144c276d027813665ef4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.06556",
    "kind": "arxiv",
    "version": 4
  }
}