Pith Number

pith:R6DDIABI

pith:2016:R6DDIABIXSGR2SPQTXZ3Q5W7KE

not attested not anchored not stored refs pending

The K\"unneth Formula for the Twisted de Rham and Higgs Cohomologies

Jeng-Daw Yu, Kai-Chieh Chen

arxiv:1608.08700 v3 · 2016-08-31 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R6DDIABIXSGR2SPQTXZ3Q5W7KE}

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	2026-05-18T00:13:38.136104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f86340028bc8d1d49f09df3b876df5139124fe29d5f59b6a0200f89e89d8fa0

Aliases

arxiv: 1608.08700 · arxiv_version: 1608.08700v3 · doi: 10.48550/arxiv.1608.08700 · pith_short_12: R6DDIABIXSGR · pith_short_16: R6DDIABIXSGR2SPQ · pith_short_8: R6DDIABI

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/R6DDIABIXSGR2SPQTXZ3Q5W7KE \
  | 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: 8f86340028bc8d1d49f09df3b876df5139124fe29d5f59b6a0200f89e89d8fa0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9c17e8982158744951b8d11f9ba02f01d748538f205bb6ba69335578f6a0183",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-08-31T01:21:41Z",
    "title_canon_sha256": "0cb46a51dc30bb5c9c83617914cbdba69de4bf0ed693732b10e56d358b367dae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.08700",
    "kind": "arxiv",
    "version": 3
  }
}