Pith Number

pith:LLBS7HI3

pith:2020:LLBS7HI3KIR6E7T3ICHFOCV726

not attested not anchored not stored refs pending

On the Uniqueness of Clifford Torus with Prescribed Isoperimetric Ratio

Jingmin Chen, Thomas Yu

arxiv:2003.13116 v1 · 2020-03-29 · math.DG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LLBS7HI3KIR6E7T3ICHFOCV726}

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	2026-07-05T00:51:12.752996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ac32f9d1b5223e27e7b408e570abfd783cb7c810b96dba0159bd1ef30c81557

Aliases

arxiv: 2003.13116 · arxiv_version: 2003.13116v1 · doi: 10.48550/arxiv.2003.13116 · pith_short_12: LLBS7HI3KIR6 · pith_short_16: LLBS7HI3KIR6E7T3 · pith_short_8: LLBS7HI3

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/LLBS7HI3KIR6E7T3ICHFOCV726 \
  | 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: 5ac32f9d1b5223e27e7b408e570abfd783cb7c810b96dba0159bd1ef30c81557

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b251ca3cf9b2c52e9fa5e7955ba74e773126ec927864ef511bba7d35bd2980aa",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2020-03-29T19:17:29Z",
    "title_canon_sha256": "5249a0e617ea1347f0e8bb72bcf491a2a2fba76a3343071c735e1edab54e5878"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.13116",
    "kind": "arxiv",
    "version": 1
  }
}