Pith Number

pith:GAZJPWOZ

pith:1997:GAZJPWOZFLOST3NWSQR4YEKCA4

not attested not anchored not stored refs pending

Compactifying sufficiently regular covering spaces of compact 3-manifolds

Robert Myers

arxiv:math/9706218 v1 · 1997-06-18 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GAZJPWOZFLOST3NWSQR4YEKCA4}

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	2026-05-18T01:05:35.194703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

303297d9d92add29edb69423cc1142073129dd0b0955d47fd7defc411914426f

Aliases

arxiv: math/9706218 · arxiv_version: math/9706218v1 · doi: 10.48550/arxiv.math/9706218 · pith_short_12: GAZJPWOZFLOS · pith_short_16: GAZJPWOZFLOST3NW · pith_short_8: GAZJPWOZ

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/GAZJPWOZFLOST3NWSQR4YEKCA4 \
  | 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: 303297d9d92add29edb69423cc1142073129dd0b0955d47fd7defc411914426f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46739707979280e137cb3ab0920615b12970c417319883da916214a169b1aee1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1997-06-18T00:00:00Z",
    "title_canon_sha256": "dba15cf81649f82b636fe5f1bd8b42b5825baca2d25d5b2b65e862056a19aa77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9706218",
    "kind": "arxiv",
    "version": 1
  }
}