Pith Number

pith:IOKBQWKL

pith:2026:IOKBQWKLCB6B45FHU5J32R232E

not attested not anchored not stored refs pending

On varieties where $\mathrm{CS}\mathfrak{X}$ implies $\mathfrak{X}\mathrm{T}$

Mohammad Shahryari, Omar Al-Raisi

arxiv:2606.08007 v1 · 2026-06-06 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IOKBQWKLCB6B45FHU5J32R232E}

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	2026-06-09T01:05:22.463625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

439418594b107c1e74a7a753bd475bd12a1fd2a4a7b5ea502a50038e8e17ef31

Aliases

arxiv: 2606.08007 · arxiv_version: 2606.08007v1 · doi: 10.48550/arxiv.2606.08007 · pith_short_12: IOKBQWKLCB6B · pith_short_16: IOKBQWKLCB6B45FH · pith_short_8: IOKBQWKL

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/IOKBQWKLCB6B45FHU5J32R232E \
  | 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: 439418594b107c1e74a7a753bd475bd12a1fd2a4a7b5ea502a50038e8e17ef31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df78e8ce53d03233c0fcb5aa3f3e31ff8c73e8d370ef423c93607d019e67471b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-06-06T06:48:58Z",
    "title_canon_sha256": "52261dbabd7b6e9df6878973220b5e1713c94dc3de9bbd6cb9a9acdaad5e9e4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.08007",
    "kind": "arxiv",
    "version": 1
  }
}