Pith Number

pith:WPJ7IH6T

pith:2013:WPJ7IH6TYH2CQOWSIE2QTLHW6U

not attested not anchored not stored refs pending

The Life of a Vortex Knot

Dustin Kleckner, Martin Scheeler, William T. M. Irvine

arxiv:1310.3321 v1 · 2013-10-12 · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WPJ7IH6TYH2CQOWSIE2QTLHW6U}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:47:06.242982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3d3f41fd3c1f4283ad2413509acf6f53d62db8c7e83101f21dde464d658f45d

Aliases

arxiv: 1310.3321 · arxiv_version: 1310.3321v1 · doi: 10.48550/arxiv.1310.3321 · pith_short_12: WPJ7IH6TYH2C · pith_short_16: WPJ7IH6TYH2CQOWS · pith_short_8: WPJ7IH6T

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/WPJ7IH6TYH2CQOWSIE2QTLHW6U \
  | 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: b3d3f41fd3c1f4283ad2413509acf6f53d62db8c7e83101f21dde464d658f45d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24756639627d46eea42c72bac6db218765d651d8a45d18f56e06e062419444c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2013-10-12T01:03:20Z",
    "title_canon_sha256": "336942dddd06fa5f27fa1d05390fe751b3a676c8498411b83a1b6f8841d85a83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.3321",
    "kind": "arxiv",
    "version": 1
  }
}