Pith Number

pith:73H3OLVW

pith:2011:73H3OLVWLZVEJCJPLKAAHGTNBM

not attested not anchored not stored refs pending

Topological Classification of Multiaxial U(n)-Actions

Min Yan, Shmuel Weinberger, Sylvain Cappell

arxiv:1108.2336 v4 · 2011-08-11 · 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{73H3OLVWLZVEJCJPLKAAHGTNBM}

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	2026-05-18T03:28:06.451750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fecfb72eb65e6a44892f5a80039a6d0b0821d55e2866bfb18143f321e3ab2cb6

Aliases

arxiv: 1108.2336 · arxiv_version: 1108.2336v4 · doi: 10.48550/arxiv.1108.2336 · pith_short_12: 73H3OLVWLZVE · pith_short_16: 73H3OLVWLZVEJCJP · pith_short_8: 73H3OLVW

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/73H3OLVWLZVEJCJPLKAAHGTNBM \
  | 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: fecfb72eb65e6a44892f5a80039a6d0b0821d55e2866bfb18143f321e3ab2cb6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da7d4fd7866013ae49a7b1f5d7fd0fe54a9e50ea0125ff7ca04045e26a0dc9ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-08-11T07:13:56Z",
    "title_canon_sha256": "add8beed0efb1bc72bf303031a89ec5b07aec13427a1349fa543ec1836f88298"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2336",
    "kind": "arxiv",
    "version": 4
  }
}