Pith Number

pith:WPQMVRIP

pith:2026:WPQMVRIPZJ2KYU7JHHA3F5BT6H

not attested not anchored not stored refs pending

Spectral Obstructions to Contracting Transport Maps on Curved Spaces

Shrey Aryan

arxiv:2605.24705 v1 · 2026-05-23 · math.DG · math.PR · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WPQMVRIPZJ2KYU7JHHA3F5BT6H}

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	2026-05-26T01:03:54.428563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3e0cac50fca74ac53e939c1b2f433f1d28dbc94c06663c0de88f14cfd3bfb98

Aliases

arxiv: 2605.24705 · arxiv_version: 2605.24705v1 · doi: 10.48550/arxiv.2605.24705 · pith_short_12: WPQMVRIPZJ2K · pith_short_16: WPQMVRIPZJ2KYU7J · pith_short_8: WPQMVRIP

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/WPQMVRIPZJ2KYU7JHHA3F5BT6H \
  | 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: b3e0cac50fca74ac53e939c1b2f433f1d28dbc94c06663c0de88f14cfd3bfb98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82d344d7cd6b91b542f9efd47f422dd198de46a7908a1a0d80723b04a85fc16a",
    "cross_cats_sorted": [
      "math.PR",
      "math.SP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-05-23T19:12:03Z",
    "title_canon_sha256": "cde9c9ae7e5b4b51bd12eb8a1fda2023533e4ef6a4cd94494f40bde8a7a47fbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.24705",
    "kind": "arxiv",
    "version": 1
  }
}