Pith Number

pith:4CKKBJBF

pith:2011:4CKKBJBFLMZZDXETU7GT6BF2Z7

not attested not anchored not stored refs pending

A bound for orderings of Reidemeister moves

Julian Gold

arxiv:1111.7000 v2 · 2011-11-29 · 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{4CKKBJBFLMZZDXETU7GT6BF2Z7}

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	2026-05-18T02:41:43.528856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e094a0a4255b3391dc93a7cd3f04bacfde19536d4d231c0d726716b64255b4d2

Aliases

arxiv: 1111.7000 · arxiv_version: 1111.7000v2 · doi: 10.48550/arxiv.1111.7000 · pith_short_12: 4CKKBJBFLMZZ · pith_short_16: 4CKKBJBFLMZZDXET · pith_short_8: 4CKKBJBF

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/4CKKBJBFLMZZDXETU7GT6BF2Z7 \
  | 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: e094a0a4255b3391dc93a7cd3f04bacfde19536d4d231c0d726716b64255b4d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dc3030c5527f6bedde66687668be54305d7976741014aa50da93392dc822083",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-11-29T21:45:08Z",
    "title_canon_sha256": "881968d82128eedf7c1ae7a3ad6c09159fe19ad7d8033dbf9d823f9670202151"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.7000",
    "kind": "arxiv",
    "version": 2
  }
}