Pith Number

pith:RJQZ3JVP

pith:2016:RJQZ3JVPBCIBAASM47JRAHCYSI

not attested not anchored not stored refs pending

Detecting fully irreducible automorphisms: a polynomial time algorithm. With an appendix by Mark C. Bell

Ilya Kapovich

arxiv:1609.03820 v3 · 2016-09-13 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RJQZ3JVPBCIBAASM47JRAHCYSI}

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	2026-05-18T00:45:15.491284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a619da6af089010024ce7d3101c589207536efcf276e40c3525de7147df4730

Aliases

arxiv: 1609.03820 · arxiv_version: 1609.03820v3 · doi: 10.48550/arxiv.1609.03820 · pith_short_12: RJQZ3JVPBCIB · pith_short_16: RJQZ3JVPBCIBAASM · pith_short_8: RJQZ3JVP

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/RJQZ3JVPBCIBAASM47JRAHCYSI \
  | 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: 8a619da6af089010024ce7d3101c589207536efcf276e40c3525de7147df4730

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21853c4b7811c56d62d6875764fc193247bb41f57fd04ecab929191e6d79a3b6",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-09-13T13:21:23Z",
    "title_canon_sha256": "7ba493d0e28290aff64cd93c83da0c77ee7f52e58c54dd55f97dd33378956e6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.03820",
    "kind": "arxiv",
    "version": 3
  }
}