Pith Number

pith:L5DL3GGR

pith:2019:L5DL3GGRLBG7LS22WLW4N4XDL7

not attested not anchored not stored refs pending

Untwisting 3-strand torus knots

Ian Banfield, Lukas Lewark, Sebastian Baader

arxiv:1909.01003 v2 · 2019-09-03 · 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{L5DL3GGRLBG7LS22WLW4N4XDL7}

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	2026-07-05T02:28:47.464146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f46bd98d1584df5cb5ab2edc6f2e35fcc5582fee448ce1085dfd48fc7aa1b7d

Aliases

arxiv: 1909.01003 · arxiv_version: 1909.01003v2 · doi: 10.48550/arxiv.1909.01003 · pith_short_12: L5DL3GGRLBG7 · pith_short_16: L5DL3GGRLBG7LS22 · pith_short_8: L5DL3GGR

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/L5DL3GGRLBG7LS22WLW4N4XDL7 \
  | 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: 5f46bd98d1584df5cb5ab2edc6f2e35fcc5582fee448ce1085dfd48fc7aa1b7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08187e1a6b45b74699a887a2404e1495aee19590f6e80c513b9721bfd37add12",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-09-03T08:42:46Z",
    "title_canon_sha256": "8fab267ce30046b2ea1f3fa89658569a518f09b36e335edb071afd663c667126"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.01003",
    "kind": "arxiv",
    "version": 2
  }
}