Pith Number

pith:BD7LDASU

pith:2016:BD7LDASUU4VUH4MQI6PO66IQHS

not attested not anchored not stored refs pending

Fr\"olicher-Nijenhuis bracket and geometry of $G_2$-and ${\rm Spin}(7)$-manifolds

H\^ong V\^an L\^e, Kotaro Kawai, Lorenz Schwachh\"ofer

arxiv:1605.01508 v3 · 2016-05-05 · math.DG · 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{BD7LDASUU4VUH4MQI6PO66IQHS}

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	2026-05-18T00:38:46.604137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08feb18254a72b43f190479eef79103c8468058e8989d2f1b1e48a8cf6056064

Aliases

arxiv: 1605.01508 · arxiv_version: 1605.01508v3 · doi: 10.48550/arxiv.1605.01508 · pith_short_12: BD7LDASUU4VU · pith_short_16: BD7LDASUU4VUH4MQ · pith_short_8: BD7LDASU

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/BD7LDASUU4VUH4MQI6PO66IQHS \
  | 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: 08feb18254a72b43f190479eef79103c8468058e8989d2f1b1e48a8cf6056064

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb1a203239e75108a740bdebd2f16c8d20c6d065c654e39ce9d73b12f0dbce15",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-05-05T07:13:21Z",
    "title_canon_sha256": "bbfc61449ba7066d5e94616fe82531471fbe1407cb538b7cf2c14c4818148496"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01508",
    "kind": "arxiv",
    "version": 3
  }
}