Pith Number

pith:W63PAK4A

pith:2018:W63PAK4AXO7KVYXQCKAH6AB24T

not attested not anchored not stored refs pending

Choreographies in the $n$-vortex problem

Carlos Garc\'ia-Azpeitia, Eusebius Doedel, Renato Calleja

arxiv:1807.08212 v2 · 2018-07-21 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W63PAK4AXO7KVYXQCKAH6AB24T}

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	2026-05-18T00:00:51.863744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7b6f02b80bbbeaae2f012807f003ae4db63a364497b68e7e3ec14c38df0aa97

Aliases

arxiv: 1807.08212 · arxiv_version: 1807.08212v2 · doi: 10.48550/arxiv.1807.08212 · pith_short_12: W63PAK4AXO7K · pith_short_16: W63PAK4AXO7KVYXQ · pith_short_8: W63PAK4A

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/W63PAK4AXO7KVYXQCKAH6AB24T \
  | 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: b7b6f02b80bbbeaae2f012807f003ae4db63a364497b68e7e3ec14c38df0aa97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d45a91fc32971e86b8a7c9af3e920d4ed6c4285bc6110cf5c9f3c2d400a4932d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-07-21T23:44:26Z",
    "title_canon_sha256": "5ca155ebeb50986217e20858138ff32d2b0fbc23b7e710c1644de071b7154ce7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.08212",
    "kind": "arxiv",
    "version": 2
  }
}