Pith Number

pith:GS55TKQF

pith:2015:GS55TKQFWB4NLC2DKWDLMVDLVJ

not attested not anchored not stored refs pending

Remarks on compactifications of pseudofinite groups

Anand Pillay

arxiv:1509.02895 v1 · 2015-09-09 · math.LO · math.GN · 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{GS55TKQFWB4NLC2DKWDLMVDLVJ}

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	2026-05-18T01:33:32.994667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34bbd9aa05b078d58b435586b6546baa57e5afa76368f883e5f5cf7151808482

Aliases

arxiv: 1509.02895 · arxiv_version: 1509.02895v1 · doi: 10.48550/arxiv.1509.02895 · pith_short_12: GS55TKQFWB4N · pith_short_16: GS55TKQFWB4NLC2D · pith_short_8: GS55TKQF

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/GS55TKQFWB4NLC2DKWDLMVDLVJ \
  | 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: 34bbd9aa05b078d58b435586b6546baa57e5afa76368f883e5f5cf7151808482

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e67e748dbdcc13850601927cd9990b07b322ed27908f476ee320d5a66c8ac19",
    "cross_cats_sorted": [
      "math.GN",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-09-09T19:17:00Z",
    "title_canon_sha256": "bcb591f08891c50bf1fa903360b7d91c0c2460b2e21c03f9918c9f6f80276e8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02895",
    "kind": "arxiv",
    "version": 1
  }
}