Pith Number

pith:ZYGHIZMK

pith:2026:ZYGHIZMKSBI4AK67WEF3CWFY2F

not attested not anchored not stored refs pending

Winding number and circular coloring

Cyril Pujol, Lujia Wang, Reza Naserasr

arxiv:2606.25644 v1 · 2026-06-24 · 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{ZYGHIZMKSBI4AK67WEF3CWFY2F}

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	2026-06-25T01:18:11.509277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce0c74658a9051c02bdfb10bb158b8d17272b851aa90b14a05bf5e926af9a32e

Aliases

arxiv: 2606.25644 · arxiv_version: 2606.25644v1 · doi: 10.48550/arxiv.2606.25644 · pith_short_12: ZYGHIZMKSBI4 · pith_short_16: ZYGHIZMKSBI4AK67 · pith_short_8: ZYGHIZMK

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/ZYGHIZMKSBI4AK67WEF3CWFY2F \
  | 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: ce0c74658a9051c02bdfb10bb158b8d17272b851aa90b14a05bf5e926af9a32e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d92611e3d9a696e090568c14353184273ac035fc804e6025dfb3c304fc3bca26",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-24T09:52:56Z",
    "title_canon_sha256": "5454149fcbc21edf2d766dc94e2993832c3c7de6c08a629280bee2bf38b60530"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.25644",
    "kind": "arxiv",
    "version": 1
  }
}