Pith Number

pith:X4NEGIT4

pith:2015:X4NEGIT42DSFVX6HTTSXMWMKMQ

not attested not anchored not stored refs pending

Sphericity of a real hypersurface via projective geometry

Ilya Kossovskiy

arxiv:1510.03323 v2 · 2015-10-12 · 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{X4NEGIT42DSFVX6HTTSXMWMKMQ}

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	2026-05-18T01:11:54.981963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf1a43227cd0e45adfc79ce576598a642cfe5d2f49bc2a0795e3592351b607de

Aliases

arxiv: 1510.03323 · arxiv_version: 1510.03323v2 · doi: 10.48550/arxiv.1510.03323 · pith_short_12: X4NEGIT42DSF · pith_short_16: X4NEGIT42DSFVX6H · pith_short_8: X4NEGIT4

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/X4NEGIT42DSFVX6HTTSXMWMKMQ \
  | 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: bf1a43227cd0e45adfc79ce576598a642cfe5d2f49bc2a0795e3592351b607de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70c72f724162b8615f6cbde735d7556c3ed41a25fac2413d987607bcca63896d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-10-12T14:56:57Z",
    "title_canon_sha256": "dd4c22af09b686793e3c9413fb2bfedea6ff9a279800aa239ef3946607e9efdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03323",
    "kind": "arxiv",
    "version": 2
  }
}