Pith Number

pith:QIKXCMGR

pith:2026:QIKXCMGRMLLI4ZLQIH4ZK4CIIG

not attested not anchored not stored refs pending

Obstacles and Singularities of Riemannian Distance Functions

Carlo Sinestrari, Paolo Albano, Piermarco Cannarsa

arxiv:2606.24397 v1 · 2026-06-23 · math.AP · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QIKXCMGRMLLI4ZLQIH4ZK4CIIG}

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	2026-06-24T01:15:29.525303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82157130d162d68e657041f99570484191c271edbff36e8bcb0ce2e05f46c1e9

Aliases

arxiv: 2606.24397 · arxiv_version: 2606.24397v1 · doi: 10.48550/arxiv.2606.24397 · pith_short_12: QIKXCMGRMLLI · pith_short_16: QIKXCMGRMLLI4ZLQ · pith_short_8: QIKXCMGR

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/QIKXCMGRMLLI4ZLQIH4ZK4CIIG \
  | 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: 82157130d162d68e657041f99570484191c271edbff36e8bcb0ce2e05f46c1e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c43f69f10856333c4631f8fbb1face8c98f665f3925e31ce50115d3a710b9486",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-23T10:31:22Z",
    "title_canon_sha256": "8d1dd3497410526d9b363efc5a356e7ab30c6c26fd139c51b1b01b8f3327de14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24397",
    "kind": "arxiv",
    "version": 1
  }
}