Pith Number

pith:JLICIDMK

pith:2015:JLICIDMKNNHTIPS6K7Z7W26CIN

not attested not anchored not stored refs pending

Random knots using Chebyshev billiard table diagrams

Moshe Cohen, Sunder Ram Krishnan

arxiv:1505.07681 v1 · 2015-05-28 · math.GT · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JLICIDMKNNHTIPS6K7Z7W26CIN}

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	2026-05-18T01:35:22.221133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ad0240d8a6b4f343e5e57f3fb6bc2434060c0a536fe1de460c71db0d23ac3fa

Aliases

arxiv: 1505.07681 · arxiv_version: 1505.07681v1 · doi: 10.48550/arxiv.1505.07681 · pith_short_12: JLICIDMKNNHT · pith_short_16: JLICIDMKNNHTIPS6 · pith_short_8: JLICIDMK

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/JLICIDMKNNHTIPS6K7Z7W26CIN \
  | 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: 4ad0240d8a6b4f343e5e57f3fb6bc2434060c0a536fe1de460c71db0d23ac3fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf315d24b225606e85e95d64b5ba127971a2c4665bb4fd6355d5b575cfe77db1",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-05-28T13:14:47Z",
    "title_canon_sha256": "834c6ed505ff192becb2d23ba7a2e83d0ebe8979710a4542bd98475ae8959e4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.07681",
    "kind": "arxiv",
    "version": 1
  }
}