Pith Number

pith:QCYJY5K3

pith:2015:QCYJY5K3AGG2T7MPP2FOMOZPZI

not attested not anchored not stored refs pending

Focal set of curves in the Minkowski space near lightlike points

Ana Claudia Nabarro, Andrea de Jesus Sacramento

arxiv:1507.07957 v2 · 2015-07-28 · 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{QCYJY5K3AGG2T7MPP2FOMOZPZI}

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	2026-05-18T01:34:41.564998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80b09c755b018da9fd8f7e8ae63b2fca072bad501361c72fef9bff6f5bb06f49

Aliases

arxiv: 1507.07957 · arxiv_version: 1507.07957v2 · doi: 10.48550/arxiv.1507.07957 · pith_short_12: QCYJY5K3AGG2 · pith_short_16: QCYJY5K3AGG2T7MP · pith_short_8: QCYJY5K3

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/QCYJY5K3AGG2T7MPP2FOMOZPZI \
  | 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: 80b09c755b018da9fd8f7e8ae63b2fca072bad501361c72fef9bff6f5bb06f49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f32abf5a27cf5a44230d14c6703ea628ed8ec042a066b99f8f80c19770796f60",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-07-28T21:04:57Z",
    "title_canon_sha256": "154c39642dd552be53812e4361ca5e470835e3a5ebedca1681d1aa7b500cc82d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.07957",
    "kind": "arxiv",
    "version": 2
  }
}