Pith Number

pith:CDUZFSOE

pith:2018:CDUZFSOEJJYGFN3A7YML6AKTME

not attested not anchored not stored refs pending

Maximum and minimum nullity of a tree degree sequence

Daniel A. Jaume, Gonzalo Molina

arxiv:1806.02399 v1 · 2018-06-06 · 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{CDUZFSOEJJYGFN3A7YML6AKTME}

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	2026-05-18T00:13:57.008756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10e992c9c44a7062b760fe18bf01536102a260c5c1fea3fc0f8d0ebd10062299

Aliases

arxiv: 1806.02399 · arxiv_version: 1806.02399v1 · doi: 10.48550/arxiv.1806.02399 · pith_short_12: CDUZFSOEJJYG · pith_short_16: CDUZFSOEJJYGFN3A · pith_short_8: CDUZFSOE

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/CDUZFSOEJJYGFN3A7YML6AKTME \
  | 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: 10e992c9c44a7062b760fe18bf01536102a260c5c1fea3fc0f8d0ebd10062299

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "133702657739b70c44bf7de679be9e641b9d4165c52e713612cf0e7da022a0c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-06-06T19:36:16Z",
    "title_canon_sha256": "7af8f77df4d934aed6f4e17b0a1b77c15fc1b375ac78b3dc3396a7aa1d76de9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.02399",
    "kind": "arxiv",
    "version": 1
  }
}