Pith Number

pith:XDRDNTFW

pith:2026:XDRDNTFWSAW7FUBMKQNCKY6NNA

not attested not anchored not stored refs pending

Shortest paths in polynomial lemniscate sublevel sets and a problem of Erd\H{o}s

Venkata Siddharth Pendyala

arxiv:2606.19178 v1 · 2026-06-17 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XDRDNTFWSAW7FUBMKQNCKY6NNA}

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	2026-06-19T16:12:07.191796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8e236ccb6902df2d02c541a2563cd682a32b9425ea02eb73dc72ec96d96def5

Aliases

arxiv: 2606.19178 · arxiv_version: 2606.19178v1 · doi: 10.48550/arxiv.2606.19178 · pith_short_12: XDRDNTFWSAW7 · pith_short_16: XDRDNTFWSAW7FUBM · pith_short_8: XDRDNTFW

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/XDRDNTFWSAW7FUBMKQNCKY6NNA \
  | 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: b8e236ccb6902df2d02c541a2563cd682a32b9425ea02eb73dc72ec96d96def5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6e929ed904dfd1448173259b9a902114e5f30187b82ee9d34a8d65777fd3fe9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2026-06-17T15:19:13Z",
    "title_canon_sha256": "0f84f198c37a7b50f7e4a6129a080a470dfbd98ebe716ecf567494630a2035fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19178",
    "kind": "arxiv",
    "version": 1
  }
}