Pith Number

pith:6XSWW7KI

pith:1998:6XSWW7KIEQOS774ZGQSOAMNCG2

not attested not anchored not stored refs pending

Ordering the braid groups

Bert Wiest, Colin Rourke, Dale Rolfsen, Michael T Greene, Roger Fenn

arxiv:math/9809013 v1 · 1998-09-03 · 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{6XSWW7KIEQOS774ZGQSOAMNCG2}

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	2026-05-18T01:05:33.803383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5e56b7d48241d2fff993424e031a236bc82b7d0f972c4024628bb2af3b413c3

Aliases

arxiv: math/9809013 · arxiv_version: math/9809013v1 · doi: 10.48550/arxiv.math/9809013 · pith_short_12: 6XSWW7KIEQOS · pith_short_16: 6XSWW7KIEQOS774Z · pith_short_8: 6XSWW7KI

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/6XSWW7KIEQOS774ZGQSOAMNCG2 \
  | 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: f5e56b7d48241d2fff993424e031a236bc82b7d0f972c4024628bb2af3b413c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e64b6635d8188bb38bcce7b8cb162ed2e711c9ffb51a1e93af38c749e3bcf12",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1998-09-03T11:45:42Z",
    "title_canon_sha256": "f6720b3f6d760b2b56c595b46a7566bdd2f387cc2bb3878c8c019c4eb465a396"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9809013",
    "kind": "arxiv",
    "version": 1
  }
}