Pith Number

pith:LJ3CXIDW

pith:2018:LJ3CXIDW4TH6OPOSF5CFT72PP3

not attested not anchored not stored refs pending

Cluster automorphisms and quasi-automorphisms

Ralf Schiffler, Wen Chang

arxiv:1808.02108 v1 · 2018-08-06 · math.RA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LJ3CXIDW4TH6OPOSF5CFT72PP3}

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	2026-05-18T00:08:47.589910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a762ba076e4cfe73dd22f4459ff4f7ed52077aaa37307a0ee89517285eaafc8

Aliases

arxiv: 1808.02108 · arxiv_version: 1808.02108v1 · doi: 10.48550/arxiv.1808.02108 · pith_short_12: LJ3CXIDW4TH6 · pith_short_16: LJ3CXIDW4TH6OPOS · pith_short_8: LJ3CXIDW

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/LJ3CXIDW4TH6OPOSF5CFT72PP3 \
  | 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: 5a762ba076e4cfe73dd22f4459ff4f7ed52077aaa37307a0ee89517285eaafc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f6002bcdc10912ed04284d3a0b3b90ceded2a91eacb826a09ee444a08faca70",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2018-08-06T20:56:00Z",
    "title_canon_sha256": "bf74a1d47c2d46b8c3d79a4d2b04cec62ba436daeca3a6767afadeb3c858cd7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.02108",
    "kind": "arxiv",
    "version": 1
  }
}