Pith Number

pith:2HESFBG6

pith:2012:2HESFBG6L4FUXGURWMH4JFX5M3

not attested not anchored not stored refs pending

Small Complete Minors Above the Extremal Edge Density

Asaf Shapira, Benny Sudakov

arxiv:1208.3568 v2 · 2012-08-17 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2HESFBG6L4FUXGURWMH4JFX5M3}

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	2026-05-18T03:25:25.647599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1c92284de5f0b4b9a91b30fc496fd66d47fe518f31651bbd1627a9d1fb31366

Aliases

arxiv: 1208.3568 · arxiv_version: 1208.3568v2 · doi: 10.48550/arxiv.1208.3568 · pith_short_12: 2HESFBG6L4FU · pith_short_16: 2HESFBG6L4FUXGUR · pith_short_8: 2HESFBG6

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/2HESFBG6L4FUXGURWMH4JFX5M3 \
  | 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: d1c92284de5f0b4b9a91b30fc496fd66d47fe518f31651bbd1627a9d1fb31366

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d617fd6bac766199c45f29756026b1be30cb7c4f8dbead1693cbb9579d551bca",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-08-17T10:31:54Z",
    "title_canon_sha256": "3247e82c18107d1e6dc44a72a1a0d30e0c3c799d36b7daae224d2fd5c6cec6e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3568",
    "kind": "arxiv",
    "version": 2
  }
}