Pith Number

pith:KBCEHGDK

pith:2011:KBCEHGDKFXFZEGCYXFF6EG36MD

not attested not anchored not stored refs pending

Braid equivalences and the $L$--moves

Sofia Lambropoulou

arxiv:1103.4397 v1 · 2011-03-22 · 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{KBCEHGDKFXFZEGCYXFF6EG36MD}

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	2026-05-18T04:26:02.154242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

504443986a2dcb921858b94be21b7e60c5a1c43c023df66926327a9255a58290

Aliases

arxiv: 1103.4397 · arxiv_version: 1103.4397v1 · doi: 10.48550/arxiv.1103.4397 · pith_short_12: KBCEHGDKFXFZ · pith_short_16: KBCEHGDKFXFZEGCY · pith_short_8: KBCEHGDK

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/KBCEHGDKFXFZEGCYXFF6EG36MD \
  | 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: 504443986a2dcb921858b94be21b7e60c5a1c43c023df66926327a9255a58290

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f3dc2f915f52e4e21a88191b1a0eebf9494491fede5162f4cee8a6224de159f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-03-22T21:56:02Z",
    "title_canon_sha256": "7c8380f42f18494e0b289ff156b220fa1dcc3ea1275aa3f0df6881893d352503"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4397",
    "kind": "arxiv",
    "version": 1
  }
}