Pith Number

pith:PYDGTGRA

pith:2026:PYDGTGRASMKIEORF3O527S2RYY

not attested not anchored not stored refs pending

Ramification Subgroups of Knot Groups and their Profinite and Cohomological Structure

Federico W. Pasini, Marina Palaisti

arxiv:2605.20365 v1 · 2026-05-19 · math.GT · math.AT · 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{PYDGTGRASMKIEORF3O527S2RYY}

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	2026-05-21T01:04:35.164812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e06699a209314823a25dbbbafcb51c60ce6bb6fc05c922b4eabbf7ec09a6d50

Aliases

arxiv: 2605.20365 · arxiv_version: 2605.20365v1 · doi: 10.48550/arxiv.2605.20365 · pith_short_12: PYDGTGRASMKI · pith_short_16: PYDGTGRASMKIEORF · pith_short_8: PYDGTGRA

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/PYDGTGRASMKIEORF3O527S2RYY \
  | 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: 7e06699a209314823a25dbbbafcb51c60ce6bb6fc05c922b4eabbf7ec09a6d50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "316806771674d2a96a0405c61256a9b35f8584646c5158882f124dddf2331987",
    "cross_cats_sorted": [
      "math.AT",
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-05-19T18:18:11Z",
    "title_canon_sha256": "ebf044ffe11036fa9aada0a3b98301a9f24e5036ea694093a7ae099da2bda513"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20365",
    "kind": "arxiv",
    "version": 1
  }
}