Pith Number

pith:ZLJXXWG4

pith:2018:ZLJXXWG4KQ6UGMXDV73MLMPKNE

not attested not anchored not stored refs pending

Euclidean submanifolds with incompressible canonical vector field

Bang-Yen Chen

arxiv:1801.07196 v3 · 2018-01-22 · 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{ZLJXXWG4KQ6UGMXDV73MLMPKNE}

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	2026-05-18T00:24:54.200007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cad37bd8dc543d4332e3aff6c5b1ea6909fcfe58a0d749fab66f9ac3070059d6

Aliases

arxiv: 1801.07196 · arxiv_version: 1801.07196v3 · doi: 10.48550/arxiv.1801.07196 · pith_short_12: ZLJXXWG4KQ6U · pith_short_16: ZLJXXWG4KQ6UGMXD · pith_short_8: ZLJXXWG4

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/ZLJXXWG4KQ6UGMXDV73MLMPKNE \
  | 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: cad37bd8dc543d4332e3aff6c5b1ea6909fcfe58a0d749fab66f9ac3070059d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f049d5373b2de323394ef6a0bf918aca4ec796070dda833f44733407c8e1641b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-01-22T17:05:57Z",
    "title_canon_sha256": "f3a1bd3ba192f98d5872984cfc8ae8a8f980d871658f942967c9b920d145bdec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.07196",
    "kind": "arxiv",
    "version": 3
  }
}