Pith Number

pith:ELTIVHPU

pith:2003:ELTIVHPUQQAAZOEETKQAJTES3J

not attested not anchored not stored refs pending

A compact group which is not Valdivia compact

Vladimir Uspenskij, Wieslaw Kubi\'s

arxiv:math/0311015 v1 · 2003-11-03 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ELTIVHPUQQAAZOEETKQAJTES3J}

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	2026-05-18T03:42:34.354569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22e68a9df484000cb8849aa004cc92da6b0a547ec5f739612dbba904ffb6aed2

Aliases

arxiv: math/0311015 · arxiv_version: math/0311015v1 · doi: 10.48550/arxiv.math/0311015 · pith_short_12: ELTIVHPUQQAA · pith_short_16: ELTIVHPUQQAAZOEE · pith_short_8: ELTIVHPU

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/ELTIVHPUQQAAZOEETKQAJTES3J \
  | 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: 22e68a9df484000cb8849aa004cc92da6b0a547ec5f739612dbba904ffb6aed2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b4f57ef54db8885b91c1d998b64ac3b8a52a2800755dc563e1c2b5fde3c6f15",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GN",
    "submitted_at": "2003-11-03T03:28:15Z",
    "title_canon_sha256": "56c2d77b0145256d15e59c1f9b937248e18adcea95c93c727cdb1c546c16103e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0311015",
    "kind": "arxiv",
    "version": 1
  }
}