Pith Number

pith:O7ZKH2BZ

pith:2013:O7ZKH2BZHS7MPYF5RTBVGORTFB

not attested not anchored not stored refs pending

Embedded triply periodic zero mean curvature surfaces of mixed type in Lorentz-Minkowski 3-space

Kotaro Yamada, Masaaki Umehara, Seong-Deog Yang, Shoichi Fujimori, Wayne Rossman

arxiv:1302.4315 v1 · 2013-02-18 · 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{O7ZKH2BZHS7MPYF5RTBVGORTFB}

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	2026-05-18T03:33:23.426547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77f2a3e8393cbec7e0bd8cc3533a3328422bcfbf0ebedd417069269d1be489e6

Aliases

arxiv: 1302.4315 · arxiv_version: 1302.4315v1 · doi: 10.48550/arxiv.1302.4315 · pith_short_12: O7ZKH2BZHS7M · pith_short_16: O7ZKH2BZHS7MPYF5 · pith_short_8: O7ZKH2BZ

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/O7ZKH2BZHS7MPYF5RTBVGORTFB \
  | 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: 77f2a3e8393cbec7e0bd8cc3533a3328422bcfbf0ebedd417069269d1be489e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fb019084443547f41519036f65a277e33695bfcb18d81b254f3395598ad8dbb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-02-18T15:35:31Z",
    "title_canon_sha256": "683a1eabad2f177add55a8281396ce591c97535c759a0d074efe73ded5921f65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.4315",
    "kind": "arxiv",
    "version": 1
  }
}