Pith Number

pith:CQN56XXO

pith:2023:CQN56XXOSTU66MJZRO62C3GV3D

not attested not anchored not stored refs pending

Three remarks on $\mathbf{W_2}$ graphs

Carl Feghali, Malory Marin

arxiv:2307.15573 v2 · 2023-07-28 · 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{CQN56XXOSTU66MJZRO62C3GV3D}

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	2026-07-05T07:12:51.924759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

141bdf5eee94e9ef31398bbda16cd5d8d2d93e6b3a39356c8f06afdc5a56deed

Aliases

arxiv: 2307.15573 · arxiv_version: 2307.15573v2 · doi: 10.48550/arxiv.2307.15573 · pith_short_12: CQN56XXOSTU6 · pith_short_16: CQN56XXOSTU66MJZ · pith_short_8: CQN56XXO

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/CQN56XXOSTU66MJZRO62C3GV3D \
  | 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: 141bdf5eee94e9ef31398bbda16cd5d8d2d93e6b3a39356c8f06afdc5a56deed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1091cfa9de218e3bb2383f8e00219a6a0e08306c8c0a257b7b54316103d1923a",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-07-28T14:12:22Z",
    "title_canon_sha256": "5fc57fd9b2e0470c53edd9cf65361edb3d936d58ef5db102309673967f52bd59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.15573",
    "kind": "arxiv",
    "version": 2
  }
}