Pith Number

pith:GYDSONKZ

pith:2016:GYDSONKZSPATUMV7R3MHEHV5SI

not attested not anchored not stored refs pending

Involution words II: braid relations and atomic structures

Brendan Pawlowski, Eric Marberg, Zachary Hamaker

arxiv:1601.02269 v2 · 2016-01-10 · math.CO · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GYDSONKZSPATUMV7R3MHEHV5SI}

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	2026-05-18T00:47:59.215722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

360727355993c13a32bf8ed8721ebd921fd3e66a206d876b581af2981fd3aa6f

Aliases

arxiv: 1601.02269 · arxiv_version: 1601.02269v2 · doi: 10.48550/arxiv.1601.02269 · pith_short_12: GYDSONKZSPAT · pith_short_16: GYDSONKZSPATUMV7 · pith_short_8: GYDSONKZ

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/GYDSONKZSPATUMV7R3MHEHV5SI \
  | 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: 360727355993c13a32bf8ed8721ebd921fd3e66a206d876b581af2981fd3aa6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eac2d61ca615c509fe48e9ad6a68b789c783c43426d9a62430e2a6c44cd38451",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-01-10T21:54:49Z",
    "title_canon_sha256": "d0f382e7b06e5a91e181cedafe28bb7ac21501896d466d8068a7cb73bb1f5e2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.02269",
    "kind": "arxiv",
    "version": 2
  }
}