Pith Number

pith:5MRRR677

pith:2024:5MRRR677XPKZUWCQWZXQEVZUZC

not attested not anchored not stored refs pending

Lagrangian knots and unknots -- an essay

Felix Schlenk, Leonid Polterovich, with an appendix by Georgios Dimitroglou Rizell

arxiv:2406.15967 v2 · 2024-06-23 · 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{5MRRR677XPKZUWCQWZXQEVZUZC}

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.

Cited by

2 papers in Pith

The nearby Lagrangian conjecture for pinwheels

Receipt and verification

First computed	2026-07-05T09:18:27.488039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb2318fbffbbd59a5850b66f025734c8ba99804b9e620665c60b98701704b88d

Aliases

arxiv: 2406.15967 · arxiv_version: 2406.15967v2 · doi: 10.48550/arxiv.2406.15967 · pith_short_12: 5MRRR677XPKZ · pith_short_16: 5MRRR677XPKZUWCQ · pith_short_8: 5MRRR677

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/5MRRR677XPKZUWCQWZXQEVZUZC \
  | 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: eb2318fbffbbd59a5850b66f025734c8ba99804b9e620665c60b98701704b88d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c2b184297e1d08f6b6d82a53acce76c93654c3274db293b21df1ad084a60263",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2024-06-23T00:18:57Z",
    "title_canon_sha256": "5c73d07a314f39893fe30ba6e6c36f17919dbd8806873ad4894188059537870d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.15967",
    "kind": "arxiv",
    "version": 2
  }
}