Pith Number

pith:SI56W4GR

pith:2022:SI56W4GRAQTASLD5TOWUEWOZRO

not attested not anchored not stored refs pending

On digraphs without onion star immersions

Karolina Okrasa, {\L}ukasz Bo\.zyk, Micha{\l} Pilipczuk, Oscar Defrain

arxiv:2211.15477 v2 · 2022-11-28 · 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{SI56W4GRAQTASLD5TOWUEWOZRO}

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	2026-07-05T06:58:36.830505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

923beb70d10426092c7d9bad4259d98bab76eff7b1a57c3d829cf928a495a0b4

Aliases

arxiv: 2211.15477 · arxiv_version: 2211.15477v2 · doi: 10.48550/arxiv.2211.15477 · pith_short_12: SI56W4GRAQTA · pith_short_16: SI56W4GRAQTASLD5 · pith_short_8: SI56W4GR

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/SI56W4GRAQTASLD5TOWUEWOZRO \
  | 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: 923beb70d10426092c7d9bad4259d98bab76eff7b1a57c3d829cf928a495a0b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "195fab3993ddd2a461f8e6926af5c8e60aac0e640748065e5eec3cf9ee5e583c",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-11-28T15:56:28Z",
    "title_canon_sha256": "f0662b5afe91d7e51880c1e8533da277ed5a45bc3c7d6bf1ce0e95881da42306"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.15477",
    "kind": "arxiv",
    "version": 2
  }
}