Pith Number

pith:NJ5EBIPI

pith:2018:NJ5EBIPISAAZLA2BO6FFMKPAZC

not attested not anchored not stored refs pending

Infinitely Generated virtually free pro-$p$ groups and $p$-adic representations

Pavel Zalesskii

arxiv:1810.00638 v2 · 2018-10-01 · 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{NJ5EBIPISAAZLA2BO6FFMKPAZC}

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	2026-05-18T00:01:28.068963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a7a40a1e89001958341778a5629e0c899dda62328502abc9b272a10428caab6

Aliases

arxiv: 1810.00638 · arxiv_version: 1810.00638v2 · doi: 10.48550/arxiv.1810.00638 · pith_short_12: NJ5EBIPISAAZ · pith_short_16: NJ5EBIPISAAZLA2B · pith_short_8: NJ5EBIPI

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/NJ5EBIPISAAZLA2BO6FFMKPAZC \
  | 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: 6a7a40a1e89001958341778a5629e0c899dda62328502abc9b272a10428caab6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1bf4305dfc177e56723ebc4beb1f26554fc7dad5e52861d959217e88a17d6a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-10-01T12:04:49Z",
    "title_canon_sha256": "91ab199a07cf8b9b1c61df81178248f714f5435bc57d03774b7574f50d1eea8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.00638",
    "kind": "arxiv",
    "version": 2
  }
}