Pith Number

pith:L5MIDBD5

pith:2017:L5MIDBD5RXPLAIDXQTE75SG2AC

not attested not anchored not stored refs pending

The number of strings on essential tangle decompositions of a knot can be unbounded

Jo\~ao Miguel Nogueira

arxiv:1705.06520 v1 · 2017-05-18 · 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{L5MIDBD5RXPLAIDXQTE75SG2AC}

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	2026-05-18T00:44:14.506658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f5881847d8ddeb0207784c9fec8da00a25274634c67b43023fb7ccdece155b9

Aliases

arxiv: 1705.06520 · arxiv_version: 1705.06520v1 · doi: 10.48550/arxiv.1705.06520 · pith_short_12: L5MIDBD5RXPL · pith_short_16: L5MIDBD5RXPLAIDX · pith_short_8: L5MIDBD5

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/L5MIDBD5RXPLAIDXQTE75SG2AC \
  | 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: 5f5881847d8ddeb0207784c9fec8da00a25274634c67b43023fb7ccdece155b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3f71b5167a9cd66637e38b38a00edee5819b97963088f57b368dcade9e5b35c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-05-18T11:03:41Z",
    "title_canon_sha256": "09ac69bad1ef8d6d511d8bbed053d857c5d5f7024f3dbbf74d13e164c3c270c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.06520",
    "kind": "arxiv",
    "version": 1
  }
}