Pith Number

pith:ZC3XBYZU

pith:2011:ZC3XBYZUMR5OS6JKWKU3ERT6DW

not attested not anchored not stored refs pending

Vector fields whose linearisation is Hurwitz almost everywhere

Benito Pires, Roland Rabanal

arxiv:1102.0190 v1 · 2011-02-01 · 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{ZC3XBYZUMR5OS6JKWKU3ERT6DW}

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	2026-05-18T04:30:13.006708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8b770e334647ae9792ab2a9b2467e1d9537c0332758a994f12df6506ff607ac

Aliases

arxiv: 1102.0190 · arxiv_version: 1102.0190v1 · doi: 10.48550/arxiv.1102.0190 · pith_short_12: ZC3XBYZUMR5O · pith_short_16: ZC3XBYZUMR5OS6JK · pith_short_8: ZC3XBYZU

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/ZC3XBYZUMR5OS6JKWKU3ERT6DW \
  | 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: c8b770e334647ae9792ab2a9b2467e1d9537c0332758a994f12df6506ff607ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3322e9ae9756bbf3cf1df08ea559a1f8f94f9e59ef8686210935feb601272647",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-02-01T15:51:09Z",
    "title_canon_sha256": "8116a59df2f32529ce9fbe83a38590ae4da721ab4d7fea8a4e70048f0b5817e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0190",
    "kind": "arxiv",
    "version": 1
  }
}