Pith Number

pith:KGAYPCYH

pith:2009:KGAYPCYHHNO7HMTCDSD2PKZJBR

not attested not anchored not stored refs pending

On the optimality of the Arf invariant formula for graph polynomials

Gregor Masbaum, Martin Loebl

arxiv:0908.2925 v2 · 2009-08-20 · math.CO · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KGAYPCYHHNO7HMTCDSD2PKZJBR}

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	2026-05-18T04:40:54.648880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5181878b073b5df3b2621c87a7ab290c595ea117c4928bab65ecc4681744b1f0

Aliases

arxiv: 0908.2925 · arxiv_version: 0908.2925v2 · doi: 10.48550/arxiv.0908.2925 · pith_short_12: KGAYPCYHHNO7 · pith_short_16: KGAYPCYHHNO7HMTC · pith_short_8: KGAYPCYH

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/KGAYPCYHHNO7HMTCDSD2PKZJBR \
  | 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: 5181878b073b5df3b2621c87a7ab290c595ea117c4928bab65ecc4681744b1f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d35dbac20a93f69d83a1dead47936b72b6dfefa76c6a3692cd18dc01c95f6a53",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-08-20T13:43:22Z",
    "title_canon_sha256": "91633720fc3ec79ecf2290cb84ca627cec344c84abdb15f2dbbdf6e1fe0657d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.2925",
    "kind": "arxiv",
    "version": 2
  }
}