Pith Number

pith:7VLKBP5V

pith:2018:7VLKBP5VI44A43VSKZ3AIZRJAY

not attested not anchored not stored refs pending

Holomorphic cohomological convolution and Hadamard product

Christophe Dubussy, Jean-Pierre Schneiders

arxiv:1812.06442 v1 · 2018-12-16 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7VLKBP5VI44A43VSKZ3AIZRJAY}

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	2026-05-17T23:58:10.224475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd56a0bfb547380e6eb25676046629062bc2db947213f23a991f92600aab24c9

Aliases

arxiv: 1812.06442 · arxiv_version: 1812.06442v1 · doi: 10.48550/arxiv.1812.06442 · pith_short_12: 7VLKBP5VI44A · pith_short_16: 7VLKBP5VI44A43VS · pith_short_8: 7VLKBP5V

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/7VLKBP5VI44A43VSKZ3AIZRJAY \
  | 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: fd56a0bfb547380e6eb25676046629062bc2db947213f23a991f92600aab24c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6b4ccf45a0f6863379502a62e47e458cc34e8bac136bc95709d8a5a91382330",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2018-12-16T10:52:43Z",
    "title_canon_sha256": "67ec296f907874149760b2c1faf60d85655f3448b0158d1bde799acf3f60e81d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.06442",
    "kind": "arxiv",
    "version": 1
  }
}