Pith Number

pith:K7OPDOWZ

pith:2015:K7OPDOWZQWNBXTHLGVIUXNBCBA

not attested not anchored not stored refs pending

Automorphisms of $p$-local compact groups

Alex Gonzalez, Ran Levi

arxiv:1507.05069 v1 · 2015-07-17 · math.AT · 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{K7OPDOWZQWNBXTHLGVIUXNBCBA}

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	2026-05-18T01:36:41.993879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57dcf1bad9859a1bcceb35514bb4220832c5af616131e4125f6eed1342ef7866

Aliases

arxiv: 1507.05069 · arxiv_version: 1507.05069v1 · doi: 10.48550/arxiv.1507.05069 · pith_short_12: K7OPDOWZQWNB · pith_short_16: K7OPDOWZQWNBXTHL · pith_short_8: K7OPDOWZ

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/K7OPDOWZQWNBXTHLGVIUXNBCBA \
  | 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: 57dcf1bad9859a1bcceb35514bb4220832c5af616131e4125f6eed1342ef7866

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c42a5b1128113a498f449f8ab267ff1894c19b74c4f2965968d0858ac0980a4b",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-07-17T18:38:27Z",
    "title_canon_sha256": "5c2b224340bc634d74e2a508aee39f45ba00980356564fd2cc5fd3c1df64d020"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05069",
    "kind": "arxiv",
    "version": 1
  }
}