Pith Number

pith:4EXP3OO5

pith:2024:4EXP3OO54VWMZNFQEK26Z5Y7BZ

not attested not anchored not stored refs pending

Genus three Goeritz groups of connected sums of two lens spaces

Hao Chen, Yanqing Zou

arxiv:2411.15471 v1 · 2024-11-23 · 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{4EXP3OO54VWMZNFQEK26Z5Y7BZ}

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	2026-07-05T11:59:09.168370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e12efdb9dde56cccb4b022b5ecf71f0e5c51beedd0c13a487ff72907ad536705

Aliases

arxiv: 2411.15471 · arxiv_version: 2411.15471v1 · doi: 10.48550/arxiv.2411.15471 · pith_short_12: 4EXP3OO54VWM · pith_short_16: 4EXP3OO54VWMZNFQ · pith_short_8: 4EXP3OO5

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/4EXP3OO54VWMZNFQEK26Z5Y7BZ \
  | 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: e12efdb9dde56cccb4b022b5ecf71f0e5c51beedd0c13a487ff72907ad536705

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d001de7772866c25d8a0907750a3d244e5609aaa3d5e7430d4ac15dd033b6dc5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2024-11-23T06:49:36Z",
    "title_canon_sha256": "41def6abcf1ea1829d573a4c2dc9dabffd7ec5538eb7a65c514db15578cd1a76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.15471",
    "kind": "arxiv",
    "version": 1
  }
}