Pith Number

pith:LU42T62E

pith:2018:LU42T62EEJJQBZW4OD35IPDHNX

not attested not anchored not stored refs pending

Linear representations of random groups

Alexander Lubotzky, Gady Kozma

arxiv:1810.01529 v1 · 2018-10-02 · 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{LU42T62EEJJQBZW4OD35IPDHNX}

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	2026-05-18T00:04:11.856838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d39a9fb44225300e6dc70f7d43c676de0805b4073d9ae6aedcbc858fea43c8d

Aliases

arxiv: 1810.01529 · arxiv_version: 1810.01529v1 · doi: 10.48550/arxiv.1810.01529 · pith_short_12: LU42T62EEJJQ · pith_short_16: LU42T62EEJJQBZW4 · pith_short_8: LU42T62E

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/LU42T62EEJJQBZW4OD35IPDHNX \
  | 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: 5d39a9fb44225300e6dc70f7d43c676de0805b4073d9ae6aedcbc858fea43c8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60b325d02d63a2fc88c1c8f376dae7e34bb68763a554296ae4ebaed083bc8970",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-10-02T21:33:19Z",
    "title_canon_sha256": "3c18d9a85c654f61a5bbd8be5f97c0684ba604428d3a756a097fd914b36509a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.01529",
    "kind": "arxiv",
    "version": 1
  }
}