Pith Number

pith:Q4GC6FKE

pith:2015:Q4GC6FKEQZAJR3AWQKZP6S5WVE

not attested not anchored not stored refs pending

An upper bound on stick numbers of knots

Seungsang Oh, Youngsik Huh

arxiv:1512.03592 v1 · 2015-12-11 · 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{Q4GC6FKEQZAJR3AWQKZP6S5WVE}

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	2026-05-18T01:24:31.970062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

870c2f1544864098ec1682b2ff4bb6a929179299659a8478196ae741b6c2de0a

Aliases

arxiv: 1512.03592 · arxiv_version: 1512.03592v1 · doi: 10.48550/arxiv.1512.03592 · pith_short_12: Q4GC6FKEQZAJ · pith_short_16: Q4GC6FKEQZAJR3AW · pith_short_8: Q4GC6FKE

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/Q4GC6FKEQZAJR3AWQKZP6S5WVE \
  | 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: 870c2f1544864098ec1682b2ff4bb6a929179299659a8478196ae741b6c2de0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64549b770c46a3c7882c9dd35ec427710fe8de696629cf26347a227ca68f79bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-12-11T10:49:00Z",
    "title_canon_sha256": "410a24b5985c9e6fb8b204ef80f9f71976cf6d045fae9492cb87a547c54f3117"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03592",
    "kind": "arxiv",
    "version": 1
  }
}