Pith Number

pith:KNOPIXJY

pith:2022:KNOPIXJYXB6E232SLY2F5B63T3

not attested not anchored not stored refs pending

Remarks on some integral formulas for $G_2$-structures

Francisco Mart\'in Cabrera

arxiv:2204.12838 v1 · 2022-04-27 · 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{KNOPIXJYXB6E232SLY2F5B63T3}

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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.

Cited by

1 paper in Pith

Integral Gauss formula and the Poisson equation for the $G_2$-Laplacian

Receipt and verification

First computed	2026-07-05T04:18:23.341538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

535cf45d38b87c4d6f525e345e87db9edef6c63aadb32fbf15f8f7d5db92f317

Aliases

arxiv: 2204.12838 · arxiv_version: 2204.12838v1 · doi: 10.48550/arxiv.2204.12838 · pith_short_12: KNOPIXJYXB6E · pith_short_16: KNOPIXJYXB6E232S · pith_short_8: KNOPIXJY

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/KNOPIXJYXB6E232SLY2F5B63T3 \
  | 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: 535cf45d38b87c4d6f525e345e87db9edef6c63aadb32fbf15f8f7d5db92f317

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73527351695ab323ae21e58f0b90b74b15ef347c88ce6b86c5b9f843a2232ec6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2022-04-27T10:53:37Z",
    "title_canon_sha256": "48bf2561d49d332ad8fffecba9fae5e1be14c7ee637e0c2500cb5a7a64e31e90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.12838",
    "kind": "arxiv",
    "version": 1
  }
}