Pith Number

pith:3XIG7AJQ

pith:2015:3XIG7AJQEXGK3WHSGE7TROVBED

not attested not anchored not stored refs pending

Structure preserving transformations in hyperkahler Euclidean spaces

Giuseppe Gaeta, Miguel Angel Rodriguez

arxiv:1512.03493 v1 · 2015-12-11 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3XIG7AJQEXGK3WHSGE7TROVBED}

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	2026-05-18T01:22:32.463296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddd06f813025ccadd8f2313f38baa120d7a4604613d2cbda94fefae43b3f42c7

Aliases

arxiv: 1512.03493 · arxiv_version: 1512.03493v1 · doi: 10.48550/arxiv.1512.03493 · pith_short_12: 3XIG7AJQEXGK · pith_short_16: 3XIG7AJQEXGK3WHS · pith_short_8: 3XIG7AJQ

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/3XIG7AJQEXGK3WHSGE7TROVBED \
  | 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: ddd06f813025ccadd8f2313f38baa120d7a4604613d2cbda94fefae43b3f42c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c6d6e6788decaa807228f85333f1e5324bb6146a99a0388afc7a96a81584c12",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-12-11T00:27:33Z",
    "title_canon_sha256": "d49c032b9dc120d14dbbf44a26f34741d74a7e812c0826e04f5b2ee4236850f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03493",
    "kind": "arxiv",
    "version": 1
  }
}