Pith Number

pith:JE6EQ6GM

pith:2019:JE6EQ6GMFHLJAHDJQLJFUM7AKQ

not attested not anchored not stored refs pending

Singular hyperbolicity of $C^1$ generic three dimensional vector fields

Manseob Lee

arxiv:1911.00618 v3 · 2019-11-02 · math.DS · 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{JE6EQ6GMFHLJAHDJQLJFUM7AKQ}

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	2026-07-05T05:07:31.676521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

493c4878cc29d6901c6982d25a33e054351a480574ba6cfe4b47c8e8f1ec8fc7

Aliases

arxiv: 1911.00618 · arxiv_version: 1911.00618v3 · doi: 10.48550/arxiv.1911.00618 · pith_short_12: JE6EQ6GMFHLJ · pith_short_16: JE6EQ6GMFHLJAHDJ · pith_short_8: JE6EQ6GM

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/JE6EQ6GMFHLJAHDJQLJFUM7AKQ \
  | 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: 493c4878cc29d6901c6982d25a33e054351a480574ba6cfe4b47c8e8f1ec8fc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43a516c3993306e75516408f187018e85e16ff63fdc188aba4b5ee51edf7813a",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-11-02T00:27:12Z",
    "title_canon_sha256": "5796556684e8443a0d8db43bf60167ad4eb284f857d9ba4a12663f982e5c1656"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.00618",
    "kind": "arxiv",
    "version": 3
  }
}