Pith Number

pith:P3345YOP

pith:2025:P3345YOP6VHYDXVD2E73GW63HE

not attested not anchored not stored refs pending

Existence of a constant-mean-curvature hypertorus in \(S^4\) via computer assistance

Oscar Perdomo

arxiv:2506.19555 v1 · 2025-06-24 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P3345YOP6VHYDXVD2E73GW63HE}

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	2026-07-05T11:26:34.481156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ef7cee1cff54f81dea3d13fb35bdb3939b131de39d23f0551a3202bef8de91a

Aliases

arxiv: 2506.19555 · arxiv_version: 2506.19555v1 · doi: 10.48550/arxiv.2506.19555 · pith_short_12: P3345YOP6VHY · pith_short_16: P3345YOP6VHYDXVD · pith_short_8: P3345YOP

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/P3345YOP6VHYDXVD2E73GW63HE \
  | 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: 7ef7cee1cff54f81dea3d13fb35bdb3939b131de39d23f0551a3202bef8de91a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d7afb42907eeea4a9b5cb8ef9472b0942afaeed6376ca4aa6221cdab420aca7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-06-24T12:07:17Z",
    "title_canon_sha256": "ecd6619176b6071d4b77bb3cf236db70ebd0c5dea2e1b5a87d404224c9904da7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.19555",
    "kind": "arxiv",
    "version": 1
  }
}