Pith Number

pith:CBDYKGXJ

pith:2026:CBDYKGXJLO4RTFJUNGE44PVB7U

not attested not anchored not stored refs pending

A Hierarchy of Tinhofer Graphs: Separations and Membership Testing

Ameya Panse, Jayalal Sarma, Sutanay Bhattacharjee

arxiv:2605.19702 v1 · 2026-05-19 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CBDYKGXJLO4RTFJUNGE44PVB7U}

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	2026-05-20T01:05:58.351494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1047851ae95bb91995346989ce3ea1fd09293e0dba22d5c7921e6e5eb2908154

Aliases

arxiv: 2605.19702 · arxiv_version: 2605.19702v1 · doi: 10.48550/arxiv.2605.19702 · pith_short_12: CBDYKGXJLO4R · pith_short_16: CBDYKGXJLO4RTFJU · pith_short_8: CBDYKGXJ

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/CBDYKGXJLO4RTFJUNGE44PVB7U \
  | 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: 1047851ae95bb91995346989ce3ea1fd09293e0dba22d5c7921e6e5eb2908154

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72098839fca8751a5c05d58f987d9adfccd179babff1f9ea2c9cfe720d8390c4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2026-05-19T11:38:21Z",
    "title_canon_sha256": "52e0e17571415789b4720a7c502a8ca1ac6bb7ef4f43fcb7312e198f8e91a8ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.19702",
    "kind": "arxiv",
    "version": 1
  }
}