Pith Number

pith:FZVXKSD5

pith:2014:FZVXKSD5X7H6VO25JVFAK74IVF

not attested not anchored not stored refs pending

Partially umbilic singularities of hypersurfaces of $\mathbb R^4$

D\'ebora Lopes, Jorge Sotomayor, Ronaldo Garcia

arxiv:1410.8548 v1 · 2014-10-30 · math.DG · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FZVXKSD5X7H6VO25JVFAK74IVF}

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	2026-05-18T02:38:59.056104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e6b75487dbfcfeabb5d4d4a057f88a951d802d885f580293d4e7de49b98002f

Aliases

arxiv: 1410.8548 · arxiv_version: 1410.8548v1 · doi: 10.48550/arxiv.1410.8548 · pith_short_12: FZVXKSD5X7H6 · pith_short_16: FZVXKSD5X7H6VO25 · pith_short_8: FZVXKSD5

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/FZVXKSD5X7H6VO25JVFAK74IVF \
  | 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: 2e6b75487dbfcfeabb5d4d4a057f88a951d802d885f580293d4e7de49b98002f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "424b034f0916ae2694d3e6a9997119116d632c8a3298f45a001a7cc8030cdc7b",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-10-30T20:33:31Z",
    "title_canon_sha256": "628550ba69577b12ea00d30c22d461bf6cee227b13dddcf20cc239b88dcda9a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.8548",
    "kind": "arxiv",
    "version": 1
  }
}