Pith Number

pith:H4FXZYNP

pith:2014:H4FXZYNPSGUNDQRUBXGYTXDDNI

not attested not anchored not stored refs pending

Submanifolds With Homothetic Gauss Map In Codimension Two

Guilherme Machado de Freitas

arxiv:1408.4331 v1 · 2014-08-19 · 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{H4FXZYNPSGUNDQRUBXGYTXDDNI}

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	2026-05-18T02:44:55.670872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f0b7ce1af91a8d1c2340dcd89dc636a124380622a195e37803d5dc47f9575cb

Aliases

arxiv: 1408.4331 · arxiv_version: 1408.4331v1 · doi: 10.48550/arxiv.1408.4331 · pith_short_12: H4FXZYNPSGUN · pith_short_16: H4FXZYNPSGUNDQRU · pith_short_8: H4FXZYNP

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/H4FXZYNPSGUNDQRUBXGYTXDDNI \
  | 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: 3f0b7ce1af91a8d1c2340dcd89dc636a124380622a195e37803d5dc47f9575cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44ca08c2ffdcd97c4a12e4a549e387abe6a37658407ae675e7fd78d3bd701816",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-08-19T13:35:01Z",
    "title_canon_sha256": "29c4e80467c3971a5f68c8536054ba62a0d23607a4cf63f50db51e10e9a0c983"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.4331",
    "kind": "arxiv",
    "version": 1
  }
}