Pith Number

pith:XHI4QKIT

pith:2025:XHI4QKIT3CMWMJIGGAJOEPSBCX

not attested not anchored not stored refs pending

From the discrete to the continuous, from simplicial complexes to Riemannian manifolds. Approximating flows and cuts on manifolds by discrete versions

Dong Zhang, Juergen Jost, Marzieh Eidi

arxiv:2512.05319 v2 · 2025-12-04 · math.DG · math.DS · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XHI4QKIT3CMWMJIGGAJOEPSBCX}

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	2026-06-26T00:15:24.264560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9d1c82913d8996625063012e23e4115c6e1d8fcec05f0c17773d9737814f423

Aliases

arxiv: 2512.05319 · arxiv_version: 2512.05319v2 · doi: 10.48550/arxiv.2512.05319 · pith_short_12: XHI4QKIT3CMW · pith_short_16: XHI4QKIT3CMWMJIG · pith_short_8: XHI4QKIT

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/XHI4QKIT3CMWMJIGGAJOEPSBCX \
  | 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: b9d1c82913d8996625063012e23e4115c6e1d8fcec05f0c17773d9737814f423

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c1ae370b177ae09377f6d98ddff81f058a9dc29b49921425759dfdc2c4f16fe",
    "cross_cats_sorted": [
      "math.DS",
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-12-04T23:36:20Z",
    "title_canon_sha256": "10189bd377a7ddc3c98bf0c6ebd86b32f24068e52e33e3530182bd0cf85e195b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.05319",
    "kind": "arxiv",
    "version": 2
  }
}