Pith Number

pith:HDHGCE25

pith:2025:HDHGCE25BBTUB3MODO4GVCXSUY

not attested not anchored not stored refs pending

Quasi-isometry classification of certain graph $2$-braid groups and its applications

Byung Hee An, Sangrok Oh

arxiv:2502.10366 v1 · 2025-02-14 · 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{HDHGCE25BBTUB3MODO4GVCXSUY}

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	2026-07-05T10:14:33.080392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38ce61135d086740ed8e1bb86a8af2a60a3a3b29b926a3e73d5b57d7c84f1d69

Aliases

arxiv: 2502.10366 · arxiv_version: 2502.10366v1 · doi: 10.48550/arxiv.2502.10366 · pith_short_12: HDHGCE25BBTU · pith_short_16: HDHGCE25BBTUB3MO · pith_short_8: HDHGCE25

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/HDHGCE25BBTUB3MODO4GVCXSUY \
  | 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: 38ce61135d086740ed8e1bb86a8af2a60a3a3b29b926a3e73d5b57d7c84f1d69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76809edca3a120e06038e1c5a8ddb816a214c52c26a6ffa6b134fcd09abe21a4",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2025-02-14T18:43:54Z",
    "title_canon_sha256": "2de22365674e37c2e46728d280184203fbd95ed2c08ee01dc6c1bcbaab57b753"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.10366",
    "kind": "arxiv",
    "version": 1
  }
}