Pith Number

pith:6PB4CAUC

pith:2016:6PB4CAUC7TGG5O4BWBNWJLMAU7

not attested not anchored not stored refs pending

Spherical 2-Dupin submanifolds

Antonio J. Di Scala, Guilherme Machado de Freitas

arxiv:1607.08153 v1 · 2016-07-27 · 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{6PB4CAUC7TGG5O4BWBNWJLMAU7}

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	2026-05-18T01:10:20.899269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3c3c10282fccc6ebb81b05b64ad80a7e682280035907d7de2e90ba2670c0967

Aliases

arxiv: 1607.08153 · arxiv_version: 1607.08153v1 · doi: 10.48550/arxiv.1607.08153 · pith_short_12: 6PB4CAUC7TGG · pith_short_16: 6PB4CAUC7TGG5O4B · pith_short_8: 6PB4CAUC

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/6PB4CAUC7TGG5O4BWBNWJLMAU7 \
  | 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: f3c3c10282fccc6ebb81b05b64ad80a7e682280035907d7de2e90ba2670c0967

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a7fc0fcd6fbef89743434414bd8c3e1f629bd15e6c57c8ef4103dd9cc0aa3e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-07-27T15:39:01Z",
    "title_canon_sha256": "04786cedd564174314f44b56c8d48298c9ebaf728cc94af7a44ce34d21801e9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.08153",
    "kind": "arxiv",
    "version": 1
  }
}