Pith Number

pith:G7ZHBQPK

pith:2019:G7ZHBQPKDG353XZMVT5SO3QOYB

not attested not anchored not stored refs pending

On large orientation-reversing finite group-actions on 3-manifolds and equivariant Heegaard decompositions

Bruno P. Zimmermann

arxiv:1903.03351 v1 · 2019-03-08 · 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{G7ZHBQPKDG353XZMVT5SO3QOYB}

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	2026-05-17T23:51:45.736014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37f270c1ea19b7dddf2cacfb276e0ec072ade742c415b16b56e117569e9070d0

Aliases

arxiv: 1903.03351 · arxiv_version: 1903.03351v1 · doi: 10.48550/arxiv.1903.03351 · pith_short_12: G7ZHBQPKDG35 · pith_short_16: G7ZHBQPKDG353XZM · pith_short_8: G7ZHBQPK

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/G7ZHBQPKDG353XZMVT5SO3QOYB \
  | 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: 37f270c1ea19b7dddf2cacfb276e0ec072ade742c415b16b56e117569e9070d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46b9868692b43d623f97158f586320e20541b4a74afa61aa35f76c9c47979674",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-03-08T10:12:22Z",
    "title_canon_sha256": "3fce86ad1ac38b557ee6b3e8aae33c23094db942412f7537aaae52d0056ebd83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.03351",
    "kind": "arxiv",
    "version": 1
  }
}