Pith Number

pith:3GLLAB4A

pith:2014:3GLLAB4A47W6HPS2DHSAJQOFJU

not attested not anchored not stored refs pending

On colorability of knots by rotations, Torus knot and PL trochoid

Ayumu Inoue

arxiv:1410.2666 v1 · 2014-10-10 · 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{3GLLAB4A47W6HPS2DHSAJQOFJU}

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	2026-05-18T02:40:37.600462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d996b00780e7ede3be5a19e404c1c54d157f984fe03e49062cdd62b3c8be69fa

Aliases

arxiv: 1410.2666 · arxiv_version: 1410.2666v1 · doi: 10.48550/arxiv.1410.2666 · pith_short_12: 3GLLAB4A47W6 · pith_short_16: 3GLLAB4A47W6HPS2 · pith_short_8: 3GLLAB4A

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/3GLLAB4A47W6HPS2DHSAJQOFJU \
  | 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: d996b00780e7ede3be5a19e404c1c54d157f984fe03e49062cdd62b3c8be69fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3571483ff46fded537657d2b031ecf1490d935a7ff0d1c6071775300d07ae71a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-10-10T02:58:12Z",
    "title_canon_sha256": "61f12606d63515df34070ad7d8ff0bc2ad759bf4e8b0bccbe14b6eedd2eb8ad7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.2666",
    "kind": "arxiv",
    "version": 1
  }
}