Pith Number

pith:6IP7Z3FT

pith:2013:6IP7Z3FTCDNUIZ5K25LNFDSH73

not attested not anchored not stored refs pending

Vortex Filament Equation for a Regular Polygon

Francisco de la Hoz, Luis Vega

arxiv:1304.5521 v2 · 2013-03-26 · math.AP · math.DS · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6IP7Z3FTCDNUIZ5K25LNFDSH73}

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	2026-05-18T02:29:25.205602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f21ffcecb310db4467aad756d28e47fee3260a49ce72d8aeab5da1cebb259d6c

Aliases

arxiv: 1304.5521 · arxiv_version: 1304.5521v2 · doi: 10.48550/arxiv.1304.5521 · pith_short_12: 6IP7Z3FTCDNU · pith_short_16: 6IP7Z3FTCDNUIZ5K · pith_short_8: 6IP7Z3FT

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/6IP7Z3FTCDNUIZ5K25LNFDSH73 \
  | 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: f21ffcecb310db4467aad756d28e47fee3260a49ce72d8aeab5da1cebb259d6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d2829cf0e2e39b2d4c12ed294be2ca72108fbe7fd50e0e3bffa339b7cd66176",
    "cross_cats_sorted": [
      "math.DS",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-03-26T12:48:54Z",
    "title_canon_sha256": "b40bf7c0192a3386ef6bd0ad6c7f898233144bffc155475baf7f036759c9b93c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5521",
    "kind": "arxiv",
    "version": 2
  }
}