Pith Number

pith:3NBFSWPZ

pith:2018:3NBFSWPZVWPA45XQ62RVECK3TR

not attested not anchored not stored refs pending

Manifolds admitting a metric with co-index of symmetry 4

Silvio Reggiani

arxiv:1812.04780 v2 · 2018-12-12 · 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{3NBFSWPZVWPA45XQ62RVECK3TR}

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	2026-05-17T23:39:57.659868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db425959f9ad9e0e76f0f6a352095b9c75e62958e25be4de090db4dffa6ac95b

Aliases

arxiv: 1812.04780 · arxiv_version: 1812.04780v2 · doi: 10.48550/arxiv.1812.04780 · pith_short_12: 3NBFSWPZVWPA · pith_short_16: 3NBFSWPZVWPA45XQ · pith_short_8: 3NBFSWPZ

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/3NBFSWPZVWPA45XQ62RVECK3TR \
  | 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: db425959f9ad9e0e76f0f6a352095b9c75e62958e25be4de090db4dffa6ac95b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8b4457ceeef86988a8265213d131c5e6f0faa986cb30ab1b6d2fddbb93aecec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-12-12T02:21:11Z",
    "title_canon_sha256": "4454a1c8d2c609939cfe88cbe75bd810af417e49255fe55a8b06ea89e9c30819"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.04780",
    "kind": "arxiv",
    "version": 2
  }
}