Pith Number

pith:TY7L5563

pith:2015:TY7L5563LPDDVNAFYGBWOLNCAH

not attested not anchored not stored refs pending

Minimal surfaces with two ends which have the least total absolute curvature

Shoichi Fujimori, Toshihiro Shoda

arxiv:1509.06021 v1 · 2015-09-20 · 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{TY7L5563LPDDVNAFYGBWOLNCAH}

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	2026-05-18T01:19:29.526906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e3ebef7db5bc63ab405c183672da201c025b8c893d005b25c9bf0a467e6fd90

Aliases

arxiv: 1509.06021 · arxiv_version: 1509.06021v1 · doi: 10.48550/arxiv.1509.06021 · pith_short_12: TY7L5563LPDD · pith_short_16: TY7L5563LPDDVNAF · pith_short_8: TY7L5563

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/TY7L5563LPDDVNAFYGBWOLNCAH \
  | 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: 9e3ebef7db5bc63ab405c183672da201c025b8c893d005b25c9bf0a467e6fd90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ef5bf620a1b3307c75080195e6ecdd5b4e52565a35a65c76761878b084b0a7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-09-20T14:50:08Z",
    "title_canon_sha256": "ba552795d3e52865b4712034fd782773158e5674696c24719e9d187e45686e7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06021",
    "kind": "arxiv",
    "version": 1
  }
}