Pith Number

pith:HGRIUKFX

pith:2018:HGRIUKFXEFSGUWD5J3ADY2QRZH

not attested not anchored not stored refs pending

On accessibility for pro-$p$ groups

Gareth Wilkes

arxiv:1811.02329 v1 · 2018-11-06 · 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{HGRIUKFXEFSGUWD5J3ADY2QRZH}

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	2026-05-18T00:01:24.529692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39a28a28b721646a587d4ec03c6a11c9ec02997af1ad0bd9d37af9b27f6a48c2

Aliases

arxiv: 1811.02329 · arxiv_version: 1811.02329v1 · doi: 10.48550/arxiv.1811.02329 · pith_short_12: HGRIUKFXEFSG · pith_short_16: HGRIUKFXEFSGUWD5 · pith_short_8: HGRIUKFX

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/HGRIUKFXEFSGUWD5J3ADY2QRZH \
  | 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: 39a28a28b721646a587d4ec03c6a11c9ec02997af1ad0bd9d37af9b27f6a48c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4ec913ab2f6913d8281fb205a6e98ecdd4ea68175d2671cd0cf20829c91f387",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-11-06T12:52:21Z",
    "title_canon_sha256": "2de69c4304301a08123b04ed0e89c947e9889119e6176f345140e00c9b42d4ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.02329",
    "kind": "arxiv",
    "version": 1
  }
}