Pith Number

pith:LCPCPEEF

pith:2016:LCPCPEEFEL3YC2V7VKQJKPUGZZ

not attested not anchored not stored refs pending

Singular decompositions of a cap product

Daniel Tanr\'e, David Chataur, Martintxo Saralegi-Aranguren

arxiv:1606.04233 v2 · 2016-06-14 · 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{LCPCPEEFEL3YC2V7VKQJKPUGZZ}

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	2026-05-18T00:44:13.753589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

589e27908522f7816abfaaa0953e86ce6c62bc227d89c18fb50d710020e371f7

Aliases

arxiv: 1606.04233 · arxiv_version: 1606.04233v2 · doi: 10.48550/arxiv.1606.04233 · pith_short_12: LCPCPEEFEL3Y · pith_short_16: LCPCPEEFEL3YC2V7 · pith_short_8: LCPCPEEF

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/LCPCPEEFEL3YC2V7VKQJKPUGZZ \
  | 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: 589e27908522f7816abfaaa0953e86ce6c62bc227d89c18fb50d710020e371f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68c540d9961f378b50c961349792597b9b51a90ce141110eced7110f39a62935",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-06-14T07:39:31Z",
    "title_canon_sha256": "f5515e9dff36fbc7f298476dea9d510d72bc95aa85bbcd2a3e3980d942e3126f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.04233",
    "kind": "arxiv",
    "version": 2
  }
}