Pith Number

pith:WBSX4K3P

pith:2016:WBSX4K3P4ZAMUWU7OLJFIW54LZ

not attested not anchored not stored refs pending

Coclosed $G_2$-structures inducing nilsolitons

Anna Fino, Leonardo Bagaglini, Marisa Fern\'andez

arxiv:1611.05264 v2 · 2016-11-16 · 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{WBSX4K3P4ZAMUWU7OLJFIW54LZ}

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	2026-05-18T00:47:49.354473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0657e2b6fe640ca5a9f72d2545bbc5e461aef34ca1672ff0f3845613371660d

Aliases

arxiv: 1611.05264 · arxiv_version: 1611.05264v2 · doi: 10.48550/arxiv.1611.05264 · pith_short_12: WBSX4K3P4ZAM · pith_short_16: WBSX4K3P4ZAMUWU7 · pith_short_8: WBSX4K3P

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/WBSX4K3P4ZAMUWU7OLJFIW54LZ \
  | 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: b0657e2b6fe640ca5a9f72d2545bbc5e461aef34ca1672ff0f3845613371660d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0124bd1af8c0bd71a2bc439794fd6638a71d9b0b7260f70ca5ea814ac39f1be4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-11-16T13:11:48Z",
    "title_canon_sha256": "7758bbe3de1f34af1194c6b3b19f1d41f44176ad4da9bccb26e81b9374170f94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.05264",
    "kind": "arxiv",
    "version": 2
  }
}