Pith Number

pith:3E6RW6WB

pith:2026:3E6RW6WBZOCAN2XKQ7RQ6BZWP7

not attested not anchored not stored refs pending

Group Theoretic Constructions of Singular Set in a Long Range Segregation Model

Howen Chuah

arxiv:2606.31181 v1 · 2026-06-30 · math.AP · 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{3E6RW6WBZOCAN2XKQ7RQ6BZWP7}

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	2026-07-01T01:17:31.509350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d93d1b7ac1cb8406eaea87e30f07367fe107d9978a8a4be3ac59123f652568c3

Aliases

arxiv: 2606.31181 · arxiv_version: 2606.31181v1 · doi: 10.48550/arxiv.2606.31181 · pith_short_12: 3E6RW6WBZOCA · pith_short_16: 3E6RW6WBZOCAN2XK · pith_short_8: 3E6RW6WB

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/3E6RW6WBZOCAN2XKQ7RQ6BZWP7 \
  | 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: d93d1b7ac1cb8406eaea87e30f07367fe107d9978a8a4be3ac59123f652568c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b05b2904018cf4f67293283a8c39c1b0cf3a21b33cfee2de6832055e3861da5",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-30T06:10:17Z",
    "title_canon_sha256": "a7591e52c064d34bdb1647719cd7155a8af22391798fb0089e96d9ffa6bcf577"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.31181",
    "kind": "arxiv",
    "version": 1
  }
}