Pith Number

pith:XFNKHUMV

pith:2009:XFNKHUMVLF7LRDZTTRADVODPPN

not attested not anchored not stored refs pending

Independent sets in almost-regular graphs and the Cameron-Erdos problem for non-invariant linear equations

Peter Hegarty

arxiv:0905.0990 v2 · 2009-05-07 · math.NT · 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{XFNKHUMVLF7LRDZTTRADVODPPN}

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	2026-05-18T04:40:54.689606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b95aa3d195597eb88f339c403ab86f7b56107c94fde08cc17a6e6a1ff0d731a5

Aliases

arxiv: 0905.0990 · arxiv_version: 0905.0990v2 · doi: 10.48550/arxiv.0905.0990 · pith_short_12: XFNKHUMVLF7L · pith_short_16: XFNKHUMVLF7LRDZT · pith_short_8: XFNKHUMV

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/XFNKHUMVLF7LRDZTTRADVODPPN \
  | 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: b95aa3d195597eb88f339c403ab86f7b56107c94fde08cc17a6e6a1ff0d731a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f61fcb13875a4bf976e9717b8097f1a421e7e8a80e6760a0faade71735ced12",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-05-07T10:34:45Z",
    "title_canon_sha256": "f2e8bf40faeb86a12d76a6c71d7925f8294653897e2602481246f00d168e3734"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.0990",
    "kind": "arxiv",
    "version": 2
  }
}