Pith Number

pith:OVC3NEPT

pith:2026:OVC3NEPT4GTCA6SZ6WBHVQ4SMQ

not attested not anchored not stored refs pending

Splitting spheres for $S^2$-links in $S^4$

Boyu Zhang, Jianfeng Lin, Yi Xie

arxiv:2608.02785 v1 · 2026-08-03 · 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{OVC3NEPT4GTCA6SZ6WBHVQ4SMQ}

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	2026-08-05T00:40:02.033497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7545b691f3e1a6207a59f5827ac39264225437492a554661046c86f9eba07a9f

Aliases

arxiv: 2608.02785 · arxiv_version: 2608.02785v1 · doi: 10.48550/arxiv.2608.02785 · pith_short_12: OVC3NEPT4GTC · pith_short_16: OVC3NEPT4GTCA6SZ · pith_short_8: OVC3NEPT

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/OVC3NEPT4GTCA6SZ6WBHVQ4SMQ \
  | 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: 7545b691f3e1a6207a59f5827ac39264225437492a554661046c86f9eba07a9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c968205fccaed6b7e809b5c5717bac5c4dd18045663c8219baa0e320011efe8e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-08-03T18:30:20Z",
    "title_canon_sha256": "23fdd1af1a77b37420118bc44d2d7f53c8e90d8939537c9ad903a92376852c90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.02785",
    "kind": "arxiv",
    "version": 1
  }
}