Pith Number

pith:SZ46HPUL

pith:2011:SZ46HPUL3CR3XDTQECPQFLPDLQ

not attested not anchored not stored refs pending

On strongly spanning $k$-edge-colorable subgraphs

Gagik N. Vardanyan, Vahan V. Mkrtchyan

arxiv:1107.4879 v3 · 2011-07-25 · 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{SZ46HPUL3CR3XDTQECPQFLPDLQ}

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	2026-05-18T01:25:09.028427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9679e3be8bd8a3bb8e70209f02ade35c03ccefbe57c348c4381a8538d67cb36f

Aliases

arxiv: 1107.4879 · arxiv_version: 1107.4879v3 · doi: 10.48550/arxiv.1107.4879 · pith_short_12: SZ46HPUL3CR3 · pith_short_16: SZ46HPUL3CR3XDTQ · pith_short_8: SZ46HPUL

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/SZ46HPUL3CR3XDTQECPQFLPDLQ \
  | 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: 9679e3be8bd8a3bb8e70209f02ade35c03ccefbe57c348c4381a8538d67cb36f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7f7c2a14623d63a462686991d009799777e43fb05e3f3521d7dfcf32f9fe9a6",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2011-07-25T09:55:39Z",
    "title_canon_sha256": "33538111311f2c57a281937f2909a946a45adb032596f0e05cf33e5a6bbf9fe2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4879",
    "kind": "arxiv",
    "version": 3
  }
}