Pith Number

pith:55EZTRHC

pith:1996:55EZTRHCLMI2CZRZ4MNTYKQ2BJ

not attested not anchored not stored refs pending

R^2-irreducible universal covering spaces of P^2-irreducible open 3-manifolds

Robert Myers

arxiv:math/9612215 v1 · 1996-12-09 · 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{55EZTRHCLMI2CZRZ4MNTYKQ2BJ}

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	2026-05-18T01:05:37.361409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef4999c4e25b11a16639e31b3c2a1a0a770ad970871ca6f5c13fe91152842831

Aliases

arxiv: math/9612215 · arxiv_version: math/9612215v1 · doi: 10.48550/arxiv.math/9612215 · pith_short_12: 55EZTRHCLMI2 · pith_short_16: 55EZTRHCLMI2CZRZ · pith_short_8: 55EZTRHC

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/55EZTRHCLMI2CZRZ4MNTYKQ2BJ \
  | 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: ef4999c4e25b11a16639e31b3c2a1a0a770ad970871ca6f5c13fe91152842831

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d30b2aed80f1681c91ec4a627b93069c043e2ae25b183ebe4e901f2696d6be56",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1996-12-09T00:00:00Z",
    "title_canon_sha256": "95a5a02cc991a749b83938f457703e4cad53efbc57b238452a545a225d2f5871"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9612215",
    "kind": "arxiv",
    "version": 1
  }
}