Pith Number

pith:HSQDKAW7

pith:2025:HSQDKAW7UQ5NPE4CVU5O3Y4ATI

not attested not anchored not stored refs pending

On the expansion of Hanoi graphs

Daniel Frishberg, David Eppstein, William Maxwell

arxiv:2510.18010 v2 · 2025-10-20 · 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{HSQDKAW7UQ5NPE4CVU5O3Y4ATI}

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	2026-06-29T00:14:00.609219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ca03502dfa43ad79382ad3aede3809a204d953b17c57f96415f98b852179d7b

Aliases

arxiv: 2510.18010 · arxiv_version: 2510.18010v2 · doi: 10.48550/arxiv.2510.18010 · pith_short_12: HSQDKAW7UQ5N · pith_short_16: HSQDKAW7UQ5NPE4C · pith_short_8: HSQDKAW7

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/HSQDKAW7UQ5NPE4CVU5O3Y4ATI \
  | 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: 3ca03502dfa43ad79382ad3aede3809a204d953b17c57f96415f98b852179d7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acd3bdaeef92202b749c56a566f3d25d42fe9ba88bcc4caccefad483d6e22045",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-10-20T18:43:24Z",
    "title_canon_sha256": "695bb0d09619f9783351de14f5d8a44ba48203902cff8d244c8e2a3af26b6411"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.18010",
    "kind": "arxiv",
    "version": 2
  }
}