Pith Number

pith:GVPRN5T5

pith:2015:GVPRN5T5N3RGADGDGEVOXZM5T2

not attested not anchored not stored refs pending

Attractivity, degeneracy and codimension of a typical singularity in 3D piecewise smooth vector fields

Marco Antonio Teixeira, Tiago De Carvalho

arxiv:1508.00456 v1 · 2015-08-03 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GVPRN5T5N3RGADGDGEVOXZM5T2}

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	2026-05-18T01:35:58.080573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

355f16f67d6ee2600cc3312aebe59d9e854da6ef61554b317aa8cd27b85c799c

Aliases

arxiv: 1508.00456 · arxiv_version: 1508.00456v1 · doi: 10.48550/arxiv.1508.00456 · pith_short_12: GVPRN5T5N3RG · pith_short_16: GVPRN5T5N3RGADGD · pith_short_8: GVPRN5T5

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/GVPRN5T5N3RGADGDGEVOXZM5T2 \
  | 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: 355f16f67d6ee2600cc3312aebe59d9e854da6ef61554b317aa8cd27b85c799c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "137b1b7782a8e081d3d44e29d0bb3671d2c54deaf9bd18ae6b1c0a9f65263bf0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-08-03T15:44:42Z",
    "title_canon_sha256": "5a8009bb0462a6eec1c12341c5057c0ceec73c8d80b21913a80cdc8136070c1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.00456",
    "kind": "arxiv",
    "version": 1
  }
}