Pith Number

pith:PKKQ2DQG

pith:2013:PKKQ2DQGK7PRI5F4SW4BTZKH5N

not attested not anchored not stored refs pending

A prime decomposition theorem for the 2-string link monoid

John Burke, Robin Koytcheff, Ryan Blair

arxiv:1308.1594 v2 · 2013-08-07 · 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{PKKQ2DQGK7PRI5F4SW4BTZKH5N}

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	2026-05-18T00:30:34.387084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a950d0e0657df1474bc95b819e547eb50dd33e8993aeb9f62eceae25b8b109c

Aliases

arxiv: 1308.1594 · arxiv_version: 1308.1594v2 · doi: 10.48550/arxiv.1308.1594 · pith_short_12: PKKQ2DQGK7PR · pith_short_16: PKKQ2DQGK7PRI5F4 · pith_short_8: PKKQ2DQG

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/PKKQ2DQGK7PRI5F4SW4BTZKH5N \
  | 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: 7a950d0e0657df1474bc95b819e547eb50dd33e8993aeb9f62eceae25b8b109c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f94e65539d806b59fe927b26b206bcfd35a0e47ca42b3c27b1a53a69621ea27b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-08-07T15:04:40Z",
    "title_canon_sha256": "393257197097ecc1122be9eb611e0bbd51002a71dda1c37bcf8d50b4aa72954a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1594",
    "kind": "arxiv",
    "version": 2
  }
}