Pith Number

pith:BAHQDLCS

pith:2014:BAHQDLCS4H3ZDDO2L3HPODRSLU

not attested not anchored not stored refs pending

Graph 4-braid groups and Massey products

Hyo Won Park, Joon Hyun La, Ki Hyoung Ko

arxiv:1407.3723 v1 · 2014-07-14 · math.GT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BAHQDLCS4H3ZDDO2L3HPODRSLU}

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	2026-05-18T02:47:41.834858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

080f01ac52e1f7918dda5ecef70e325d14ab47f5de15b6d4d1335d651a352259

Aliases

arxiv: 1407.3723 · arxiv_version: 1407.3723v1 · doi: 10.48550/arxiv.1407.3723 · pith_short_12: BAHQDLCS4H3Z · pith_short_16: BAHQDLCS4H3ZDDO2 · pith_short_8: BAHQDLCS

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/BAHQDLCS4H3ZDDO2L3HPODRSLU \
  | 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: 080f01ac52e1f7918dda5ecef70e325d14ab47f5de15b6d4d1335d651a352259

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02ef51e5faac666bda1e212536b1e5247643518027fa96bb2b8d93ae4ccfca3c",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-07-14T16:53:23Z",
    "title_canon_sha256": "13ba5b0feac9ff26520116434869faa4c7833d6330b446429699759520705da4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.3723",
    "kind": "arxiv",
    "version": 1
  }
}