Pith Number

pith:ZKLHOE4X

pith:2025:ZKLHOE4XL5OFORUFJNTXLDTWCC

not attested not anchored not stored refs pending

Tightness of Chekanov's bound on displacement energy for some Lagrangian knots

David Keren Yaar

arxiv:2507.21282 v1 · 2025-07-28 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZKLHOE4XL5OFORUFJNTXLDTWCC}

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	2026-07-05T11:44:56.292309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca967713975f5c5746854b67758e76108032c40da4855b9506bbaaf0351a1eda

Aliases

arxiv: 2507.21282 · arxiv_version: 2507.21282v1 · doi: 10.48550/arxiv.2507.21282 · pith_short_12: ZKLHOE4XL5OF · pith_short_16: ZKLHOE4XL5OFORUF · pith_short_8: ZKLHOE4X

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/ZKLHOE4XL5OFORUFJNTXLDTWCC \
  | 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: ca967713975f5c5746854b67758e76108032c40da4855b9506bbaaf0351a1eda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99054a73ab7396e2a5f37f34770b60e5b20af01a38182976b11c16ff70ce6ee7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2025-07-28T19:08:30Z",
    "title_canon_sha256": "fe2454c0e08b8d9c82f231be2892498dd45ece6aafc69c947c2e7e5f6ab44fb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.21282",
    "kind": "arxiv",
    "version": 1
  }
}