Pith Number

pith:ISLCAYGJ

pith:2012:ISLCAYGJ5DC5G7NWKJKGVVCBGO

not attested not anchored not stored refs pending

Definable groups as homomorphic images of semilinear and field-definable groups

Pantelis Eleftheriou, Ya'acov Peterzil

arxiv:1201.5894 v2 · 2012-01-27 · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ISLCAYGJ5DC5G7NWKJKGVVCBGO}

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	2026-05-18T04:01:25.615696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44962060c9e8c5d37db652546ad44133b7eff6c8c97e8c38f3f7515ddb42b5f8

Aliases

arxiv: 1201.5894 · arxiv_version: 1201.5894v2 · doi: 10.48550/arxiv.1201.5894 · pith_short_12: ISLCAYGJ5DC5 · pith_short_16: ISLCAYGJ5DC5G7NW · pith_short_8: ISLCAYGJ

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/ISLCAYGJ5DC5G7NWKJKGVVCBGO \
  | 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: 44962060c9e8c5d37db652546ad44133b7eff6c8c97e8c38f3f7515ddb42b5f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c426b508ef504e6e1a202fc49f72ed9a2037d82e255cd57d5480dd2be6dcbbb9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-01-27T21:07:12Z",
    "title_canon_sha256": "818ce977417163b1752edad52e79a0e3e20687445774e734ef4db113185aaa8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5894",
    "kind": "arxiv",
    "version": 2
  }
}