Pith Number

pith:3LDJKABB

pith:2011:3LDJKABBHNX6AFU4ZQS3NYMCL7

not attested not anchored not stored refs pending

Irregular smoothing and the number of Reidemeister moves

Chuichiro Hayashi, Miwa Hayashi

arxiv:1103.5173 v1 · 2011-03-26 · 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{3LDJKABBHNX6AFU4ZQS3NYMCL7}

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	2026-05-18T04:25:38.491732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dac69500213b6fe0169ccc25b6e1825fc9bc2e605d0c84be452535529e9c9f57

Aliases

arxiv: 1103.5173 · arxiv_version: 1103.5173v1 · doi: 10.48550/arxiv.1103.5173 · pith_short_12: 3LDJKABBHNX6 · pith_short_16: 3LDJKABBHNX6AFU4 · pith_short_8: 3LDJKABB

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/3LDJKABBHNX6AFU4ZQS3NYMCL7 \
  | 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: dac69500213b6fe0169ccc25b6e1825fc9bc2e605d0c84be452535529e9c9f57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58e283286636f237d8eb9ef9242b169f292614ffb7e1c9e96734875c18c90585",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-03-26T23:01:21Z",
    "title_canon_sha256": "f8a0f347ca5cbb03c4491cae6d6204bf643593897f558398ce05f15a349d4413"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5173",
    "kind": "arxiv",
    "version": 1
  }
}