Pith Number

pith:UC34ZYXR

pith:2011:UC34ZYXRAZFKKRI4AKRTLVY3O4

not attested not anchored not stored refs pending

Fractional edge-decompositions of dense graphs and related eigenvalues

Peter J. Dukes

arxiv:1108.1576 v3 · 2011-08-07 · 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{UC34ZYXRAZFKKRI4AKRTLVY3O4}

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	2026-05-18T02:35:52.873121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0b7cce2f1064aa5451c02a335d71b771d2a9684453a0d6dfbf1e9145364f8cc

Aliases

arxiv: 1108.1576 · arxiv_version: 1108.1576v3 · doi: 10.48550/arxiv.1108.1576 · pith_short_12: UC34ZYXRAZFK · pith_short_16: UC34ZYXRAZFKKRI4 · pith_short_8: UC34ZYXR

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/UC34ZYXRAZFKKRI4AKRTLVY3O4 \
  | 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: a0b7cce2f1064aa5451c02a335d71b771d2a9684453a0d6dfbf1e9145364f8cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc142f969444a126d98657f203ba72587888483f73c41dae95556309b6c50323",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-08-07T21:22:11Z",
    "title_canon_sha256": "9974d2bb07de611db44e0d8c7172c92777fd763275516895b400a51ebd31174f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1576",
    "kind": "arxiv",
    "version": 3
  }
}