Pith Number

pith:ABWW7GKT

pith:2015:ABWW7GKTZ2SMUFKIIRYOXVTYZO

not attested not anchored not stored refs pending

Separation in the BNSR-invariants of the pure braid groups

Matthew C. B. Zaremsky

arxiv:1507.08597 v1 · 2015-07-30 · math.GR · 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{ABWW7GKTZ2SMUFKIIRYOXVTYZO}

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	2026-05-18T01:36:06.031651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

006d6f9953cea4ca15484470ebd678cbb900488e90b28631054221cdea4fc388

Aliases

arxiv: 1507.08597 · arxiv_version: 1507.08597v1 · doi: 10.48550/arxiv.1507.08597 · pith_short_12: ABWW7GKTZ2SM · pith_short_16: ABWW7GKTZ2SMUFKI · pith_short_8: ABWW7GKT

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/ABWW7GKTZ2SMUFKIIRYOXVTYZO \
  | 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: 006d6f9953cea4ca15484470ebd678cbb900488e90b28631054221cdea4fc388

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0029c4001e26bd5b0de80378df98623e18f723846c77fc466e93fe00ae37cf76",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-07-30T17:51:24Z",
    "title_canon_sha256": "e5a8ca22e906ee877011ee6581e4b42da2f6b6d08cf83c57edf10bcfb2255a53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.08597",
    "kind": "arxiv",
    "version": 1
  }
}