Pith Number

pith:WDZ3F5UM

pith:2014:WDZ3F5UMDMMFFK7H6HF7HMPZGD

not attested not anchored not stored refs pending

Homological Stability For The Moduli Spaces of Products of Spheres

Nathan Perlmutter

arxiv:1408.1903 v4 · 2014-08-08 · math.AT · 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{WDZ3F5UMDMMFFK7H6HF7HMPZGD}

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	2026-05-18T02:41:52.099083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0f3b2f68c1b1852abe7f1cbf3b1f930ced21d5597ba56210a7161d89e1c7f4d

Aliases

arxiv: 1408.1903 · arxiv_version: 1408.1903v4 · doi: 10.48550/arxiv.1408.1903 · pith_short_12: WDZ3F5UMDMMF · pith_short_16: WDZ3F5UMDMMFFK7H · pith_short_8: WDZ3F5UM

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/WDZ3F5UMDMMFFK7H6HF7HMPZGD \
  | 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: b0f3b2f68c1b1852abe7f1cbf3b1f930ced21d5597ba56210a7161d89e1c7f4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2903dc601a66e4e6c58021770b7c729525869af9ec867ee7d627a84d9b6a353d",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2014-08-08T16:27:35Z",
    "title_canon_sha256": "457ba99cf01fa688ee0de6678e3c5b3bb6475f1d8c198922f1c87cec3f38169e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.1903",
    "kind": "arxiv",
    "version": 4
  }
}