Pith Number

pith:Y2XVDDNF

pith:2015:Y2XVDDNFEXXHQXZ2F2FPVLKVI3

not attested not anchored not stored refs pending

Nonnegatively curved Euclidean submanifolds in codimension two

Luis A. Florit, Wolfgang Ziller

arxiv:1512.03681 v2 · 2015-12-11 · 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{Y2XVDDNFEXXHQXZ2F2FPVLKVI3}

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	2026-05-18T01:11:59.114570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6af518da525ee785f3a2e8afaad5546c699fd36b44276f0832f8ccd6e1f10c5

Aliases

arxiv: 1512.03681 · arxiv_version: 1512.03681v2 · doi: 10.48550/arxiv.1512.03681 · pith_short_12: Y2XVDDNFEXXH · pith_short_16: Y2XVDDNFEXXHQXZ2 · pith_short_8: Y2XVDDNF

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/Y2XVDDNFEXXHQXZ2F2FPVLKVI3 \
  | 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: c6af518da525ee785f3a2e8afaad5546c699fd36b44276f0832f8ccd6e1f10c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec3d6f2c9d3c0814dda78876be0b095de724765c502449c823a7e2574f5ba59f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-12-11T15:49:07Z",
    "title_canon_sha256": "d2f3ed6e85da6c824faa03abc1da9bf146003069f8cce672c1adc4dbe1742547"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03681",
    "kind": "arxiv",
    "version": 2
  }
}