Pith Number

pith:HXHTTBA3

pith:2011:HXHTTBA3OHD4PIGXQBH7PX2BVB

not attested not anchored not stored refs pending

The subgroup identification problem for finitely presented groups

Maurice Chiodo

arxiv:1109.1792 v4 · 2011-09-08 · math.GR · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HXHTTBA3OHD4PIGXQBH7PX2BVB}

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	2026-05-18T01:01:52.718375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3dcf39841b71c7c7a0d7804ff7df41a8664806cba0edf609a97de57d700380d7

Aliases

arxiv: 1109.1792 · arxiv_version: 1109.1792v4 · doi: 10.48550/arxiv.1109.1792 · pith_short_12: HXHTTBA3OHD4 · pith_short_16: HXHTTBA3OHD4PIGX · pith_short_8: HXHTTBA3

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/HXHTTBA3OHD4PIGXQBH7PX2BVB \
  | 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: 3dcf39841b71c7c7a0d7804ff7df41a8664806cba0edf609a97de57d700380d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a4823cbf30ce8b3ef769f682dfd81056f5dddb7e2bd4465e8c047a5e9b0a177",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-09-08T17:40:47Z",
    "title_canon_sha256": "d858e8c4163fda20132655c83564a03b9bb044d9db46768ebc89b479899840ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1792",
    "kind": "arxiv",
    "version": 4
  }
}