Pith Number

pith:UAEJTWCA

pith:2015:UAEJTWCAF5CHDIQYLLQQ3OFHQH

not attested not anchored not stored refs pending

Reduced $L_{q,p}$-Cohomology of Some Twisted Products

Vladimir Gol'dshtein, Yaroslav Kopylov

arxiv:1505.00913 v2 · 2015-05-05 · math.GT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UAEJTWCAF5CHDIQYLLQQ3OFHQH}

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	2026-05-18T01:32:00.543718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a00899d8402f4471a2185ae10db8a781dffa316db6ed278fa67045eaffe7b8c8

Aliases

arxiv: 1505.00913 · arxiv_version: 1505.00913v2 · doi: 10.48550/arxiv.1505.00913 · pith_short_12: UAEJTWCAF5CH · pith_short_16: UAEJTWCAF5CHDIQY · pith_short_8: UAEJTWCA

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/UAEJTWCAF5CHDIQYLLQQ3OFHQH \
  | 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: a00899d8402f4471a2185ae10db8a781dffa316db6ed278fa67045eaffe7b8c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ace1b8296923f2dc022815ba87f65e08134842e14ee1d53e78a292fbf571ade7",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-05-05T08:26:07Z",
    "title_canon_sha256": "3867b307e4836c70723b0c3b268e3a22a4a496c929643eb23b4fc534f03522c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.00913",
    "kind": "arxiv",
    "version": 2
  }
}