Pith Number

pith:LOPNW5X6

pith:2016:LOPNW5X6LZ6TRLXBVRQXXKOTXM

not attested not anchored not stored refs pending

Concordance of certain 3-braids and Gauss diagrams

Michael Brandenbursky

arxiv:1604.04273 v1 · 2016-04-14 · 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{LOPNW5X6LZ6TRLXBVRQXXKOTXM}

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	2026-05-18T01:17:05.990159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b9edb76fe5e7d38aee1ac617ba9d3bb02d789458584c8ab940b5dc02690e7c1

Aliases

arxiv: 1604.04273 · arxiv_version: 1604.04273v1 · doi: 10.48550/arxiv.1604.04273 · pith_short_12: LOPNW5X6LZ6T · pith_short_16: LOPNW5X6LZ6TRLXB · pith_short_8: LOPNW5X6

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/LOPNW5X6LZ6TRLXBVRQXXKOTXM \
  | 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: 5b9edb76fe5e7d38aee1ac617ba9d3bb02d789458584c8ab940b5dc02690e7c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b38d481921ea13fcb858960d07556548f9f6c0d965b3c53f9cb970c8c6b709d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-04-14T19:39:35Z",
    "title_canon_sha256": "c7296869184f1158a01439b9c9648adfdb4c9a2f845c506077d919c47c95e8cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.04273",
    "kind": "arxiv",
    "version": 1
  }
}