Pith Number

pith:OMMV74FD

pith:2019:OMMV74FDBFGSD25364AQKJY5GA

not attested not anchored not stored refs pending

Harmonic Gauss maps of submanifolds of arbitrary codimension of the Euclidean space and sphere and some applications

Daniel Bustos, Jaime Ripoll

arxiv:1909.06617 v3 · 2019-09-14 · 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{OMMV74FDBFGSD25364AQKJY5GA}

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	2026-07-05T03:06:09.607274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73195ff0a3094d21ebbbf70105271d302e9ec0f9203c0fb8ba62047fb3ad2620

Aliases

arxiv: 1909.06617 · arxiv_version: 1909.06617v3 · doi: 10.48550/arxiv.1909.06617 · pith_short_12: OMMV74FDBFGS · pith_short_16: OMMV74FDBFGSD253 · pith_short_8: OMMV74FD

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/OMMV74FDBFGSD25364AQKJY5GA \
  | 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: 73195ff0a3094d21ebbbf70105271d302e9ec0f9203c0fb8ba62047fb3ad2620

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6037dc8e2cb628159e0fcdf96be5bc992971ad91bad0441d04986eeb7e70f762",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-09-14T15:50:14Z",
    "title_canon_sha256": "287f0eb4b22c38817f84fa97a55544c9beb9e6834e1f790085485b4de7e012cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.06617",
    "kind": "arxiv",
    "version": 3
  }
}