Pith Number

pith:Q5QYG7LB

pith:2012:Q5QYG7LBVQMZS4ZUQH3XVISDDZ

not attested not anchored not stored refs pending

Gain/Loss of derivatives for complex vector fields

Giuseppe Zampieri, Luca Baracco

arxiv:1208.5938 v2 · 2012-08-29 · 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{Q5QYG7LBVQMZS4ZUQH3XVISDDZ}

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	2026-05-18T02:49:54.273334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8761837d61ac1999733481f77aa2431e5d2b27151336f2a80e6f23e470354104

Aliases

arxiv: 1208.5938 · arxiv_version: 1208.5938v2 · doi: 10.48550/arxiv.1208.5938 · pith_short_12: Q5QYG7LBVQMZ · pith_short_16: Q5QYG7LBVQMZS4ZU · pith_short_8: Q5QYG7LB

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/Q5QYG7LBVQMZS4ZUQH3XVISDDZ \
  | 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: 8761837d61ac1999733481f77aa2431e5d2b27151336f2a80e6f23e470354104

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f55be3859525473196ee8eaef42f69640ad08e955d04e12cd3f1772e39055dfa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-08-29T15:07:40Z",
    "title_canon_sha256": "80c7057e07bebbaff2b071d001dfa5a5a0898bc7d4da1c5c6491028d82c71f2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5938",
    "kind": "arxiv",
    "version": 2
  }
}