Pith Number

pith:KCXNJANN

pith:2025:KCXNJANNTL7C2AISJU5RUMWVHA

not attested not anchored not stored refs pending

Singularities and their propagation in optimal transport

Piermarco Cannarsa, Tianqi Shi, Wei Cheng, Wenxue Wei

arxiv:2501.15605 v1 · 2025-01-26 · math.AP · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KCXNJANNTL7C2AISJU5RUMWVHA}

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	2026-07-05T10:05:31.840984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50aed481ad9afe2d01124d3b1a32d53817214aa55072343baf0f00b62123e2b4

Aliases

arxiv: 2501.15605 · arxiv_version: 2501.15605v1 · doi: 10.48550/arxiv.2501.15605 · pith_short_12: KCXNJANNTL7C · pith_short_16: KCXNJANNTL7C2AIS · pith_short_8: KCXNJANN

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/KCXNJANNTL7C2AISJU5RUMWVHA \
  | 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: 50aed481ad9afe2d01124d3b1a32d53817214aa55072343baf0f00b62123e2b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29098b43d6e9a0ab7af4265e78a48e0180e1611a9fe8a8a1730c34f1f5684efd",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-01-26T17:13:33Z",
    "title_canon_sha256": "a85e1b9f8c534e6516a602adf331fc20544110ed5efe088138c53e0e28dccdca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.15605",
    "kind": "arxiv",
    "version": 1
  }
}