Pith Number

pith:PAYXEMH2

pith:2019:PAYXEMH2F56MLNMMP3IICNP763

not attested not anchored not stored refs pending

Connectivity at Infinity for the Braid Group of a Complete Bipartite Graph

John Meier, Jon McCammond, Kristen Mazur, Ranjan Rohatgi

arxiv:1908.00394 v1 · 2019-08-01 · math.AT · 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{PAYXEMH2F56MLNMMP3IICNP763}

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	2026-07-04T23:50:59.985937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78317230fa2f7cc5b58c7ed08135fff6c0e319ab22bb8148293b385313e50842

Aliases

arxiv: 1908.00394 · arxiv_version: 1908.00394v1 · doi: 10.48550/arxiv.1908.00394 · pith_short_12: PAYXEMH2F56M · pith_short_16: PAYXEMH2F56MLNMM · pith_short_8: PAYXEMH2

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/PAYXEMH2F56MLNMMP3IICNP763 \
  | 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: 78317230fa2f7cc5b58c7ed08135fff6c0e319ab22bb8148293b385313e50842

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "963144e5b68f19cd242117da7961b7faab1497241fce9111b90868af1754fc6a",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2019-08-01T13:43:40Z",
    "title_canon_sha256": "a9b267dec7c89b4543c1a2310fc7fdaab041a4221bfb372cab89477898ae2ea6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.00394",
    "kind": "arxiv",
    "version": 1
  }
}