Pith Number

pith:5FN2JVN5

pith:2011:5FN2JVN5LY2ZIOFTMBB46MS3DH

not attested not anchored not stored refs pending

Lorenz knots

Joan S. Birman

arxiv:1201.0214 v1 · 2011-12-31 · math.GT · 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{5FN2JVN5LY2ZIOFTMBB46MS3DH}

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	2026-05-18T04:05:25.841066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e95ba4d5bd5e359438b36043cf325b19d8eacfe0a4f3cfc4d4278defd4e6164e

Aliases

arxiv: 1201.0214 · arxiv_version: 1201.0214v1 · doi: 10.48550/arxiv.1201.0214 · pith_short_12: 5FN2JVN5LY2Z · pith_short_16: 5FN2JVN5LY2ZIOFT · pith_short_8: 5FN2JVN5

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/5FN2JVN5LY2ZIOFTMBB46MS3DH \
  | 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: e95ba4d5bd5e359438b36043cf325b19d8eacfe0a4f3cfc4d4278defd4e6164e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35486ddd3bc9c706bf5ec04c2f14f33bd31c62a206c5641283594e0b989987d1",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-12-31T03:04:50Z",
    "title_canon_sha256": "3958fe9f56ffbeb1c5da28880d1e9fa798a20383e2c78dc9954ef9d9245caac6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0214",
    "kind": "arxiv",
    "version": 1
  }
}