Pith Number

pith:H7MMKHN7

pith:2016:H7MMKHN76WH7AHPELTAE6TPOJQ

not attested not anchored not stored refs pending

The Fundamental Group of $SO(n)$ Via Quotients of Braid Groups

Ina Hajdini, Orlin Stoytchev

arxiv:1607.05876 v1 · 2016-07-20 · math.HO · 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{H7MMKHN76WH7AHPELTAE6TPOJQ}

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	2026-05-18T01:10:43.809444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fd8c51dbff58ff01de45cc04f4dee4c2a1675290ea2cf4dbf3d146fe65e20dd

Aliases

arxiv: 1607.05876 · arxiv_version: 1607.05876v1 · doi: 10.48550/arxiv.1607.05876 · pith_short_12: H7MMKHN76WH7 · pith_short_16: H7MMKHN76WH7AHPE · pith_short_8: H7MMKHN7

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/H7MMKHN76WH7AHPELTAE6TPOJQ \
  | 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: 3fd8c51dbff58ff01de45cc04f4dee4c2a1675290ea2cf4dbf3d146fe65e20dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1669cac2cd6bb01e89b73566d5731f1694656f2f6c10bc1357f796d0eb07259",
    "cross_cats_sorted": [
      "math.GR",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2016-07-20T09:12:43Z",
    "title_canon_sha256": "d0aa2bb7baaf747ae252ff41031ff2b3105fd6f3779de7f0e4988af8980cc6a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05876",
    "kind": "arxiv",
    "version": 1
  }
}