Pith Number

pith:7ZISS3T3

pith:2026:7ZISS3T3X2DFXR6JHWMJ4VS4SY

not attested not anchored not stored refs pending

Symmetry and Rigidity of Star-Shaped Coxeter Systems

A Rameswar Patro, Arijit Mahato, Tushar Kanta Naik

arxiv:2605.22065 v1 · 2026-05-21 · 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{7ZISS3T3X2DFXR6JHWMJ4VS4SY}

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	2026-05-22T01:04:23.427259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe51296e7bbe865bc7c93d989e565c96374356342f00cbde782446880a66819a

Aliases

arxiv: 2605.22065 · arxiv_version: 2605.22065v1 · doi: 10.48550/arxiv.2605.22065 · pith_short_12: 7ZISS3T3X2DF · pith_short_16: 7ZISS3T3X2DFXR6J · pith_short_8: 7ZISS3T3

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/7ZISS3T3X2DFXR6JHWMJ4VS4SY \
  | 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: fe51296e7bbe865bc7c93d989e565c96374356342f00cbde782446880a66819a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1c16113ffb5f9d58168298f21aac54ac4726b717887f59c93440a0f4b11cdb3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-05-21T07:00:17Z",
    "title_canon_sha256": "dbbcba4244fa403e0d68d6b263b995b6474fab0cd3fc7f09eb2391b81f551725"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22065",
    "kind": "arxiv",
    "version": 1
  }
}