Pith Number

pith:6MWU7X7U

pith:2011:6MWU7X7UQD4GJEYIQ4GM65NX7O

not attested not anchored not stored refs pending

On the Wu classes of the topological blow up

Wang Wei

arxiv:1107.1065 v2 · 2011-07-06 · 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{6MWU7X7UQD4GJEYIQ4GM65NX7O}

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	2026-05-18T04:18:44.316041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f32d4fdff480f8649308870ccf75b7fbad5bf3462126f8f40cdc89b8ff8d3626

Aliases

arxiv: 1107.1065 · arxiv_version: 1107.1065v2 · doi: 10.48550/arxiv.1107.1065 · pith_short_12: 6MWU7X7UQD4G · pith_short_16: 6MWU7X7UQD4GJEYI · pith_short_8: 6MWU7X7U

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/6MWU7X7UQD4GJEYIQ4GM65NX7O \
  | 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: f32d4fdff480f8649308870ccf75b7fbad5bf3462126f8f40cdc89b8ff8d3626

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da1b3663102384777a3a2a8826f5ee7a6aea3efb39f0c0ca45b419eba9d7123d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-07-06T09:15:51Z",
    "title_canon_sha256": "67734bfe74bf115eba543d49df9e0ac7e9146ab66487d8f25df29aea603b4f85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1065",
    "kind": "arxiv",
    "version": 2
  }
}