Pith Number

pith:KRYPNCZM

pith:2014:KRYPNCZMLASCD6MZRZ7FVP7AWC

not attested not anchored not stored refs pending

2-dimensional Lie algebras and separatrices for vector fields on (C^3,0)

Helena Reis, Julio C. Rebelo

arxiv:1410.3527 v1 · 2014-10-13 · math.DS · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KRYPNCZMLASCD6MZRZ7FVP7AWC}

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	2026-05-18T02:40:09.592597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5470f68b2c582421f9998e7e5abfe0b0965fc41f9c992cf2ef358665cb4cde51

Aliases

arxiv: 1410.3527 · arxiv_version: 1410.3527v1 · doi: 10.48550/arxiv.1410.3527 · pith_short_12: KRYPNCZMLASC · pith_short_16: KRYPNCZMLASCD6MZ · pith_short_8: KRYPNCZM

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/KRYPNCZMLASCD6MZRZ7FVP7AWC \
  | 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: 5470f68b2c582421f9998e7e5abfe0b0965fc41f9c992cf2ef358665cb4cde51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a3c4cd2b1db42ab5fb3e742e27e7ccb65c2dd4121a0baa1a1d38bdb31f518a8",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-10-13T22:24:31Z",
    "title_canon_sha256": "3d66dac0c3dcc0834875d31e9ccdba3e50f4f2cc98bedfabbc8a57a8dedbcd6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.3527",
    "kind": "arxiv",
    "version": 1
  }
}