Pith Number

pith:SJGTIROO

pith:2023:SJGTIROOCAAWU3ALXDDCX2QIPO

not attested not anchored not stored refs pending

Irregularity of Graphs respecting Degree Bounds

Dieter Rautenbach, Florian Werner

arxiv:2303.12632 v1 · 2023-03-22 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SJGTIROOCAAWU3ALXDDCX2QIPO}

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	2026-07-05T05:53:43.430664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

924d3445ce10016a6c0bb8c62bea087b9b88652ede65f8b1c788c9c176887c81

Aliases

arxiv: 2303.12632 · arxiv_version: 2303.12632v1 · doi: 10.48550/arxiv.2303.12632 · pith_short_12: SJGTIROOCAAW · pith_short_16: SJGTIROOCAAWU3AL · pith_short_8: SJGTIROO

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/SJGTIROOCAAWU3ALXDDCX2QIPO \
  | 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: 924d3445ce10016a6c0bb8c62bea087b9b88652ede65f8b1c788c9c176887c81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa5af277d89297406162ff14a9ca78f3c853f741e532abe93cfac8a0bf03316c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-03-22T15:14:56Z",
    "title_canon_sha256": "09c7df8b09c0774dba6f6dbed57812d550023d60ae6b7cc96d188be4b22a4e16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.12632",
    "kind": "arxiv",
    "version": 1
  }
}