Pith Number

pith:ZDSHYCSP

pith:2012:ZDSHYCSPJPL2SKU7OR3QBAVOX5

not attested not anchored not stored refs pending

Milnor-Wood inequalities for products

Michelle Bucher, Tsachik Gelander

arxiv:1201.0332 v1 · 2012-01-01 · 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{ZDSHYCSPJPL2SKU7OR3QBAVOX5}

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	2026-05-18T02:41:43.457289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8e47c0a4f4bd7a92a9f74770082aebf65e0f82a8fe10a6ad920f04d013b213f

Aliases

arxiv: 1201.0332 · arxiv_version: 1201.0332v1 · doi: 10.48550/arxiv.1201.0332 · pith_short_12: ZDSHYCSPJPL2 · pith_short_16: ZDSHYCSPJPL2SKU7 · pith_short_8: ZDSHYCSP

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/ZDSHYCSPJPL2SKU7OR3QBAVOX5 \
  | 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: c8e47c0a4f4bd7a92a9f74770082aebf65e0f82a8fe10a6ad920f04d013b213f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cddbd156233a5f746ea4c77214a9fdf1121304c486b7bb606a7122ee1f30c7ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-01-01T06:26:35Z",
    "title_canon_sha256": "1107ad190c5807f8920d92696a584764f679e99c46393c20b86c04244db10e40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0332",
    "kind": "arxiv",
    "version": 1
  }
}