Pith Number

pith:LV25DAWT

pith:2014:LV25DAWTAGHHF2LJ7QEJN744G3

not attested not anchored not stored refs pending

On the congruence subgroup problem for branch groups

Alejandra Garrido

arxiv:1405.3237 v2 · 2014-05-13 · 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{LV25DAWTAGHHF2LJ7QEJN744G3}

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	2026-05-18T01:02:05.400263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d75d182d3018e72e969fc0896ff9c36e9a27830a7d73d841f16b2480d431506

Aliases

arxiv: 1405.3237 · arxiv_version: 1405.3237v2 · doi: 10.48550/arxiv.1405.3237 · pith_short_12: LV25DAWTAGHH · pith_short_16: LV25DAWTAGHHF2LJ · pith_short_8: LV25DAWT

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/LV25DAWTAGHHF2LJ7QEJN744G3 \
  | 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: 5d75d182d3018e72e969fc0896ff9c36e9a27830a7d73d841f16b2480d431506

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42f4d8101b79b7629b99c003ee07421b18c4935ac7fc47adbed343452236af3d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-05-13T17:23:36Z",
    "title_canon_sha256": "d9472552088a0aa475e33f598eb89a10fe7657f4d0dbf1be14ce5c0fb341f68d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.3237",
    "kind": "arxiv",
    "version": 2
  }
}