Pith Number

pith:4XFLMQFY

pith:2024:4XFLMQFYOULPJMOGXHW5T3QUFF

not attested not anchored not stored refs pending

Minimal Submanifolds and Waists of Locally Symmetric Spaces

Ben Lowe, Mikolaj Fraczyk

arxiv:2412.01510 v1 · 2024-12-02 · math.DG · math.CO · math.GR · 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{4XFLMQFYOULPJMOGXHW5T3QUFF}

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.

Cited by

1 paper in Pith

Cellular waists of hyperbolic spaces

Receipt and verification

First computed	2026-07-05T09:43:14.159945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5cab640b87516f4b1c6b9edd9ee14296df771745ffb3c4b0bf9312e55072648

Aliases

arxiv: 2412.01510 · arxiv_version: 2412.01510v1 · doi: 10.48550/arxiv.2412.01510 · pith_short_12: 4XFLMQFYOULP · pith_short_16: 4XFLMQFYOULPJMOG · pith_short_8: 4XFLMQFY

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/4XFLMQFYOULPJMOGXHW5T3QUFF \
  | 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: e5cab640b87516f4b1c6b9edd9ee14296df771745ffb3c4b0bf9312e55072648

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92c16b933e664bd3babd2a2297b931e093885c31867621182044395404f16a17",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR",
      "math.GT"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-12-02T14:02:26Z",
    "title_canon_sha256": "e51fbaaad4aff20ac5f665b9b9e055542146c596adf9352e6e35bd87bc8bc27b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.01510",
    "kind": "arxiv",
    "version": 1
  }
}