Pith Number

pith:CP4VIGJJ

pith:2015:CP4VIGJJV3JDUTQ2NGGQU5T6YZ

not attested not anchored not stored refs pending

Lagrangian submanifolds in para-complex Euclidean space

Henri Anciaux, Maikel Samuays

arxiv:1510.06268 v1 · 2015-10-21 · 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{CP4VIGJJV3JDUTQ2NGGQU5T6YZ}

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	2026-05-18T01:29:37.373643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13f9541929aed23a4e1a698d0a767ec6477d3b74be66f4a430d9a16691b2fe8f

Aliases

arxiv: 1510.06268 · arxiv_version: 1510.06268v1 · doi: 10.48550/arxiv.1510.06268 · pith_short_12: CP4VIGJJV3JD · pith_short_16: CP4VIGJJV3JDUTQ2 · pith_short_8: CP4VIGJJ

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/CP4VIGJJV3JDUTQ2NGGQU5T6YZ \
  | 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: 13f9541929aed23a4e1a698d0a767ec6477d3b74be66f4a430d9a16691b2fe8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c5eba2fc865073844cf4f069f90796196d855dca3d7071e6e5dfc9daf8554e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-10-21T14:20:59Z",
    "title_canon_sha256": "92d932d14fc02948b1fe43b6269d494d1ae7291cddefeb39ed20e47875750d20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.06268",
    "kind": "arxiv",
    "version": 1
  }
}