Pith Number

pith:TAFYKGNP

pith:2010:TAFYKGNPDUATFV5MCPB6GENNFV

not attested not anchored not stored refs pending

Well-covered and uniformly well-covered graphs

Rashid Zaare-Nahandi

arxiv:1009.5242 v3 · 2010-09-27 · math.CO · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TAFYKGNPDUATFV5MCPB6GENNFV}

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	2026-05-18T03:28:19.878333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

980b8519af1d0132d7ac13c3e311ad2d49d5feb5a3632b3f283760bf16f52420

Aliases

arxiv: 1009.5242 · arxiv_version: 1009.5242v3 · doi: 10.48550/arxiv.1009.5242 · pith_short_12: TAFYKGNPDUAT · pith_short_16: TAFYKGNPDUATFV5M · pith_short_8: TAFYKGNP

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/TAFYKGNPDUATFV5MCPB6GENNFV \
  | 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: 980b8519af1d0132d7ac13c3e311ad2d49d5feb5a3632b3f283760bf16f52420

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ff4a997c55a87ac088be8a6bf0509db9ad1ad862061d43a8ec767d7b431dfbd",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-09-27T12:47:02Z",
    "title_canon_sha256": "1a0b95410ff523749006dc90fe0f7c0c48ef72c48551f2e9bdc86835049d3bf1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5242",
    "kind": "arxiv",
    "version": 3
  }
}