Pith Number

pith:KDPCHTBG

pith:2018:KDPCHTBGLC3WZAE7I5TSWK35UU

not attested not anchored not stored refs pending

Crossing Matrices of Positive Braids

Mauricio Gutierrez, Zbigniew Nitecki

arxiv:1805.12189 v1 · 2018-05-30 · 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{KDPCHTBGLC3WZAE7I5TSWK35UU}

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	2026-05-18T00:14:31.238027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50de23cc2658b76c809f47672b2b7da537170a2fcbcaec57d8638e8ee496dc0a

Aliases

arxiv: 1805.12189 · arxiv_version: 1805.12189v1 · doi: 10.48550/arxiv.1805.12189 · pith_short_12: KDPCHTBGLC3W · pith_short_16: KDPCHTBGLC3WZAE7 · pith_short_8: KDPCHTBG

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/KDPCHTBGLC3WZAE7I5TSWK35UU \
  | 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: 50de23cc2658b76c809f47672b2b7da537170a2fcbcaec57d8638e8ee496dc0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b121071c8d0abd97f8e1b932baa60759ba12a5314d27cb05f3879806077cb9bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-05-30T19:29:59Z",
    "title_canon_sha256": "5a4d4b91661d3d5b9510d7c554c8c27bac31f57a69ee86f637671437350f96c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.12189",
    "kind": "arxiv",
    "version": 1
  }
}