Pith Number

pith:W77NB3T6

pith:2015:W77NB3T6CXKKAJ7NJIOUYCTG3P

not attested not anchored not stored refs pending

Smooth actions of compact quantum groups on compact smooth manifolds

Debashish Goswami, Soumalya Joardar

arxiv:1507.08407 v1 · 2015-07-30 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W77NB3T6CXKKAJ7NJIOUYCTG3P}

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	2026-05-18T01:36:06.539223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7fed0ee7e15d4a027ed4a1d4c0a66dbc7665789f636dbf36b31d48e5daed6dd

Aliases

arxiv: 1507.08407 · arxiv_version: 1507.08407v1 · doi: 10.48550/arxiv.1507.08407 · pith_short_12: W77NB3T6CXKK · pith_short_16: W77NB3T6CXKKAJ7N · pith_short_8: W77NB3T6

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/W77NB3T6CXKKAJ7NJIOUYCTG3P \
  | 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: b7fed0ee7e15d4a027ed4a1d4c0a66dbc7665789f636dbf36b31d48e5daed6dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eece6db09978a1b75e40f0b5abfea0c1260b26f742201caf3107ac1a6344e7b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-07-30T07:45:44Z",
    "title_canon_sha256": "33da1d31f6da9bc85354932fcd5489a2a9c1bbd24ae33a7ac09b884b22f094c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.08407",
    "kind": "arxiv",
    "version": 1
  }
}