Pith Number

pith:YZ7WHKKU

pith:2016:YZ7WHKKUEOPDN4K3AWGGD2CYIM

not attested not anchored not stored refs pending

A problem of Ulam about magnetic fields generated by knotted wires

Alberto Enciso, Daniel Peralta-Salas

arxiv:1602.03142 v1 · 2016-02-09 · math.DS · math-ph · math.CA · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YZ7WHKKUEOPDN4K3AWGGD2CYIM}

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	2026-05-17T23:41:13.719433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c67f63a954239e36f15b058c61e8584331b7f53718f2b7a89d7a54b348eed489

Aliases

arxiv: 1602.03142 · arxiv_version: 1602.03142v1 · doi: 10.48550/arxiv.1602.03142 · pith_short_12: YZ7WHKKUEOPD · pith_short_16: YZ7WHKKUEOPDN4K3 · pith_short_8: YZ7WHKKU

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/YZ7WHKKUEOPDN4K3AWGGD2CYIM \
  | 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: c67f63a954239e36f15b058c61e8584331b7f53718f2b7a89d7a54b348eed489

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ea1bd58df0b13778ed0985d105e76d0427380fe736ef368f81716ea58d132b6",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-02-09T19:56:49Z",
    "title_canon_sha256": "4e35b7738e6cab1aa498027d0d054180501f66428bbb3e0fcac347655fb1fda2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.03142",
    "kind": "arxiv",
    "version": 1
  }
}