Pith Number

pith:QY5GDA6R

pith:2016:QY5GDA6R45JA4CE5MIRCEDYYYB

not attested not anchored not stored refs pending

Knotted fields and explicit fibrations for lemniscate knots

Benjamin Bode, David Foster, Mark R Dennis, Robert P King

arxiv:1611.02563 v1 · 2016-11-08 · math.GT · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QY5GDA6R45JA4CE5MIRCEDYYYB}

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	2026-05-18T00:41:01.365110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

863a6183d1e7520e089d6222220f18c0445ad2f3fcd69c72ce3ec7d797b32f8a

Aliases

arxiv: 1611.02563 · arxiv_version: 1611.02563v1 · doi: 10.48550/arxiv.1611.02563 · pith_short_12: QY5GDA6R45JA · pith_short_16: QY5GDA6R45JA4CE5 · pith_short_8: QY5GDA6R

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/QY5GDA6R45JA4CE5MIRCEDYYYB \
  | 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: 863a6183d1e7520e089d6222220f18c0445ad2f3fcd69c72ce3ec7d797b32f8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "305522773bc9c6782e686fac3f9aad25d87e3dc5ab9c8ab1a3124d4d561da2e0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-11-08T15:43:51Z",
    "title_canon_sha256": "1ffe8c1f8924f23cbcd28f960a73649d3f3f1fc54c62a38a2d520bd59d894342"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.02563",
    "kind": "arxiv",
    "version": 1
  }
}