Pith Number

pith:CRTGHIPM

pith:1997:CRTGHIPMWTYHSI2GRQAKIXJTM5

not attested not anchored not stored refs pending

A universal Polish G-space

Greg Hjorth

arxiv:math/9701202 v1 · 1997-01-28 · 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{CRTGHIPMWTYHSI2GRQAKIXJTM5}

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	2026-05-18T01:05:37.324154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

146663a1ecb4f07923468c00a45d33676c82d53fde92f5f4e6817612c4585d05

Aliases

arxiv: math/9701202 · arxiv_version: math/9701202v1 · doi: 10.48550/arxiv.math/9701202 · pith_short_12: CRTGHIPMWTYH · pith_short_16: CRTGHIPMWTYHSI2G · pith_short_8: CRTGHIPM

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/CRTGHIPMWTYHSI2GRQAKIXJTM5 \
  | 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: 146663a1ecb4f07923468c00a45d33676c82d53fde92f5f4e6817612c4585d05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90a6ad401f9b60f1cb465975cee60af1e9cf8245942a60d0b44e63ccd4409304",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "1997-01-28T00:00:00Z",
    "title_canon_sha256": "4c87bfa1c537fc551f0bd0a1c6ae72d59543b2b0ff6f2bb98bfe2cba2dc236ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9701202",
    "kind": "arxiv",
    "version": 1
  }
}