Pith Number

pith:RFGQTXYQ

pith:2017:RFGQTXYQVXFBUMQGYC7MO7F4JD

not attested not anchored not stored refs pending

Combinatorial properties of the G-degree

Luigi Grasselli, Maria Rita Casali

arxiv:1707.09031 v2 · 2017-07-27 · 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{RFGQTXYQVXFBUMQGYC7MO7F4JD}

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	2026-05-18T00:04:24.041048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

894d09df10adca1a3206c0bec77cbc48dfb7105075b50a5cf45b03654b8d6232

Aliases

arxiv: 1707.09031 · arxiv_version: 1707.09031v2 · doi: 10.48550/arxiv.1707.09031 · pith_short_12: RFGQTXYQVXFB · pith_short_16: RFGQTXYQVXFBUMQG · pith_short_8: RFGQTXYQ

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/RFGQTXYQVXFBUMQGYC7MO7F4JD \
  | 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: 894d09df10adca1a3206c0bec77cbc48dfb7105075b50a5cf45b03654b8d6232

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "066b87d9f89e41170e2ed358e0ac315123cfe15c428f7d3184af52c8748527c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-07-27T20:11:48Z",
    "title_canon_sha256": "c917d47b5b4da6a5839ad56d23a88b8567c40d0d9a53934bd11d262aac595722"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.09031",
    "kind": "arxiv",
    "version": 2
  }
}