Pith Number

pith:C54FPNJH

pith:2015:C54FPNJHDG72VXZ5J6H6NDSF37

not attested not anchored not stored refs pending

Unknotting number for Lorenz knots

Lilya Lyubich

arxiv:1502.01327 v2 · 2015-02-04 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C54FPNJHDG72VXZ5J6H6NDSF37}

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	2026-05-18T02:25:48.657929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

177857b52719bfaadf3d4f8fe68e45dfdce8de9a16c35b26cfccb8aa8f949ef9

Aliases

arxiv: 1502.01327 · arxiv_version: 1502.01327v2 · doi: 10.48550/arxiv.1502.01327 · pith_short_12: C54FPNJHDG72 · pith_short_16: C54FPNJHDG72VXZ5 · pith_short_8: C54FPNJH

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/C54FPNJHDG72VXZ5J6H6NDSF37 \
  | 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: 177857b52719bfaadf3d4f8fe68e45dfdce8de9a16c35b26cfccb8aa8f949ef9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c18af028cd419853e18334104f62b564c831864e0a6c7e587028826d94d2bd3a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-02-04T20:43:49Z",
    "title_canon_sha256": "8cb8c345d693af953da8d4fd63d4f232e39040b886a6d427a4f8a07a00386abc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01327",
    "kind": "arxiv",
    "version": 2
  }
}