Pith Number

pith:UB7DII6P

pith:2015:UB7DII6PNTLPKBHO7Y45ROKUQO

not attested not anchored not stored refs pending

Uncountably many non-commensurable finitely presented pro-$p$ groups

Ilir Snopce

arxiv:1504.00027 v1 · 2015-03-31 · 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{UB7DII6PNTLPKBHO7Y45ROKUQO}

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	2026-05-18T02:19:49.964068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a07e3423cf6cd6f504eefe39d8b95483a8494c36b55a49ffcaf896f3855d5a96

Aliases

arxiv: 1504.00027 · arxiv_version: 1504.00027v1 · doi: 10.48550/arxiv.1504.00027 · pith_short_12: UB7DII6PNTLP · pith_short_16: UB7DII6PNTLPKBHO · pith_short_8: UB7DII6P

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/UB7DII6PNTLPKBHO7Y45ROKUQO \
  | 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: a07e3423cf6cd6f504eefe39d8b95483a8494c36b55a49ffcaf896f3855d5a96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "220562a8f0c0e448f6e35409a39818a57bc01000b00fe4cfdbcaf76cfe115d47",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-03-31T20:16:26Z",
    "title_canon_sha256": "fde2419db39f47e96690536feaa909aae24577e48d1b82af538bae3ba1439df2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.00027",
    "kind": "arxiv",
    "version": 1
  }
}