Pith Number

pith:WNMYEQKY

pith:2026:WNMYEQKY6FT3TR4BY2VNVHRMEC

not attested not anchored not stored refs pending

Stability of the Injectivity Radius and the Cut Locus of Submanifolds under Perturbations

Aritra Bhowmick

arxiv:2605.26499 v1 · 2026-05-26 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WNMYEQKY6FT3TR4BY2VNVHRMEC}

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	2026-05-27T01:05:23.206246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b359824158f167b9c781c6aada9e2c20b94da0853fdaee0df5287cb76009a4b0

Aliases

arxiv: 2605.26499 · arxiv_version: 2605.26499v1 · doi: 10.48550/arxiv.2605.26499 · pith_short_12: WNMYEQKY6FT3 · pith_short_16: WNMYEQKY6FT3TR4B · pith_short_8: WNMYEQKY

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/WNMYEQKY6FT3TR4BY2VNVHRMEC \
  | 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: b359824158f167b9c781c6aada9e2c20b94da0853fdaee0df5287cb76009a4b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a853cbd4bdcaa375b9fd3d69448954d649288b46f1de372bb3747c4a0fbbc791",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-05-26T03:24:30Z",
    "title_canon_sha256": "f9e040c0a88eaa30cf98f6573c15ea80d19f36f8a58d8d38022baa3366a84d96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.26499",
    "kind": "arxiv",
    "version": 1
  }
}