Pith Number

pith:XDEULZIE

pith:2026:XDEULZIEKLMZFSLQFLEZH2UTRQ

not attested not anchored not stored refs pending

Wang-Qiu-Hu switching and isomorphism

Aida Abiad, Hong-Jun Ge

arxiv:2606.13510 v1 · 2026-06-11 · 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{XDEULZIEKLMZFSLQFLEZH2UTRQ}

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	2026-06-12T01:10:07.513455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8c945e50452d992c9702ac993ea938c1747c20cd67ace62f2b37a8a2b34ccdb

Aliases

arxiv: 2606.13510 · arxiv_version: 2606.13510v1 · doi: 10.48550/arxiv.2606.13510 · pith_short_12: XDEULZIEKLMZ · pith_short_16: XDEULZIEKLMZFSLQ · pith_short_8: XDEULZIE

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/XDEULZIEKLMZFSLQFLEZH2UTRQ \
  | 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: b8c945e50452d992c9702ac993ea938c1747c20cd67ace62f2b37a8a2b34ccdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c51f6fc1616be7ecb35947223add0d1c2020bd7cd16018eb905fa0766aa49c3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-11T15:56:41Z",
    "title_canon_sha256": "29b3d0bc85d14c2ff949335cc5ddcad62f7946c9f46e4650781e0a6af9f3f388"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.13510",
    "kind": "arxiv",
    "version": 1
  }
}