Pith Number

pith:LIHCQGS3

pith:2026:LIHCQGS3U2CSQI5PKR4Y67AY6O

not attested not anchored not stored refs pending

On minimal graphs, fixing sets and base size sets for hamiltonian groups

Kirti Sahu, Ranjit Mehatari

arxiv:2601.21575 v2 · 2026-01-29 · 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{LIHCQGS3U2CSQI5PKR4Y67AY6O}

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	2026-06-25T01:17:49.700586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a0e281a5ba6852823af54798f7c18f3b8cbdecba2a488c0287b01b9d113259f

Aliases

arxiv: 2601.21575 · arxiv_version: 2601.21575v2 · doi: 10.48550/arxiv.2601.21575 · pith_short_12: LIHCQGS3U2CS · pith_short_16: LIHCQGS3U2CSQI5P · pith_short_8: LIHCQGS3

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/LIHCQGS3U2CSQI5PKR4Y67AY6O \
  | 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: 5a0e281a5ba6852823af54798f7c18f3b8cbdecba2a488c0287b01b9d113259f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2d60e9cd4025c3a11f0ab32d06387b2405c582cd873132eba1afe1e6167a6a3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-01-29T11:40:16Z",
    "title_canon_sha256": "f7737b6597a31bac0a58dded11fa2b52531927f6a47ea75924a22163bc77a60e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.21575",
    "kind": "arxiv",
    "version": 2
  }
}