Pith Number

pith:5YIYGSVG

pith:2025:5YIYGSVGQ4UJL7RJY6QL3KZQH3

not attested not anchored not stored refs pending

Representing distance-hereditary graphs with multi-rooted trees

Guillaume E. Scholz

arxiv:2502.08251 v1 · 2025-02-12 · 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{5YIYGSVGQ4UJL7RJY6QL3KZQH3}

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	2026-07-05T10:13:20.012368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee11834aa6872895fe29c7a0bdab303eec3ebafa6bb7220fb2be19a1ff51a024

Aliases

arxiv: 2502.08251 · arxiv_version: 2502.08251v1 · doi: 10.48550/arxiv.2502.08251 · pith_short_12: 5YIYGSVGQ4UJ · pith_short_16: 5YIYGSVGQ4UJL7RJ · pith_short_8: 5YIYGSVG

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/5YIYGSVGQ4UJL7RJY6QL3KZQH3 \
  | 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: ee11834aa6872895fe29c7a0bdab303eec3ebafa6bb7220fb2be19a1ff51a024

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "111097dcf6991a881458c412f2e036c8a9e1bc4e989428b16c370fbd3245c4f3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-02-12T09:47:00Z",
    "title_canon_sha256": "1b5c2933bc68baa230956e1af918902176fdf72e08957ed98f1f2958a85b2412"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.08251",
    "kind": "arxiv",
    "version": 1
  }
}