Pith Number

pith:CVXJUGZT

pith:2015:CVXJUGZTLVQ75MEI6MJSESCJLR

not attested not anchored not stored refs pending

Independent sums of $H^1_n(\mathbb{T})$ and $H^1_n(\delta)$

Maciej Rzeszut, Michal Wojciechowski

arxiv:1505.06511 v2 · 2015-05-13 · math.CA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CVXJUGZTLVQ75MEI6MJSESCJLR}

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	2026-05-18T01:12:30.811611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

156e9a1b335d61feb088f3132248495c5104d87cabe243e18574db7ed2be68e0

Aliases

arxiv: 1505.06511 · arxiv_version: 1505.06511v2 · doi: 10.48550/arxiv.1505.06511 · pith_short_12: CVXJUGZTLVQ7 · pith_short_16: CVXJUGZTLVQ75MEI · pith_short_8: CVXJUGZT

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/CVXJUGZTLVQ75MEI6MJSESCJLR \
  | 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: 156e9a1b335d61feb088f3132248495c5104d87cabe243e18574db7ed2be68e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d56b4a88dea3df8650a8ad2a6e7fb2b37d0c2f8e3851bc41049ce7a9fdb65fee",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-05-13T22:17:09Z",
    "title_canon_sha256": "ef42f5313b7a4548db1e953883bbafb699122dc4955674cfdc14fef52925adcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.06511",
    "kind": "arxiv",
    "version": 2
  }
}