Pith Number

pith:4RMK2HKS

pith:2013:4RMK2HKSQGNHF6VSHXH7GPWCTV

not attested not anchored not stored refs pending

A polynomial upper bound on Reidemeister moves

Marc Lackenby

arxiv:1302.0180 v2 · 2013-02-01 · 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{4RMK2HKSQGNHF6VSHXH7GPWCTV}

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	2026-05-18T02:31:36.252651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e458ad1d52819a72fab23dcff33ec29d54c508583e27a2a7900f152817f64b9e

Aliases

arxiv: 1302.0180 · arxiv_version: 1302.0180v2 · doi: 10.48550/arxiv.1302.0180 · pith_short_12: 4RMK2HKSQGNH · pith_short_16: 4RMK2HKSQGNHF6VS · pith_short_8: 4RMK2HKS

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/4RMK2HKSQGNHF6VSHXH7GPWCTV \
  | 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: e458ad1d52819a72fab23dcff33ec29d54c508583e27a2a7900f152817f64b9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16618156ef2fc88461d4e37c4f0adfbc8232402a7d7e4000e94319f996032f06",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-02-01T13:44:57Z",
    "title_canon_sha256": "f0160e712241f0c2d82d7b87d471454f61ec3af90fd9bed2d0e8d45c349a54fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0180",
    "kind": "arxiv",
    "version": 2
  }
}