Pith Number

pith:SX5FRK2I

pith:2018:SX5FRK2IMJSHTAGN7F6BVVXIDS

not attested not anchored not stored refs pending

On homotopy aspects and cablings of virtual pure braid groups

Jie Wu, Roman Mikhailov, Valeriy G. Bardakov

arxiv:1808.09786 v1 · 2018-08-29 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SX5FRK2IMJSHTAGN7F6BVVXIDS}

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	2026-05-18T00:06:54.452571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95fa58ab4862647980cdf97c1ad6e81c9c834dc27b49febc5eed627d6b342561

Aliases

arxiv: 1808.09786 · arxiv_version: 1808.09786v1 · doi: 10.48550/arxiv.1808.09786 · pith_short_12: SX5FRK2IMJSH · pith_short_16: SX5FRK2IMJSHTAGN · pith_short_8: SX5FRK2I

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/SX5FRK2IMJSHTAGN7F6BVVXIDS \
  | 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: 95fa58ab4862647980cdf97c1ad6e81c9c834dc27b49febc5eed627d6b342561

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f962981241ab595a6471cc933d7f9c7912afb2b5a50815758bd403ba83116d62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2018-08-29T13:18:40Z",
    "title_canon_sha256": "26f10132ef54995ed769454663e31d0aaeb03a1c5924ddd6e190f6efa32c7fed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.09786",
    "kind": "arxiv",
    "version": 1
  }
}