Pith Number

pith:JZBEAJYK

pith:2018:JZBEAJYKQSWWBFI6HEV7DCSFO5

not attested not anchored not stored refs pending

Hypersurfaces quasi-invariant by codimension one foliations

Calum Spicer, Jorge Vitorio Pereira

arxiv:1804.08165 v2 · 2018-04-22 · math.AG · 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{JZBEAJYKQSWWBFI6HEV7DCSFO5}

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	2026-05-18T00:16:55.375169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e4240270a84ad60951e392bf18a4577537d3b1556cbb6e1ac5f7ea8d4d3d130

Aliases

arxiv: 1804.08165 · arxiv_version: 1804.08165v2 · doi: 10.48550/arxiv.1804.08165 · pith_short_12: JZBEAJYKQSWW · pith_short_16: JZBEAJYKQSWWBFI6 · pith_short_8: JZBEAJYK

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/JZBEAJYKQSWWBFI6HEV7DCSFO5 \
  | 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: 4e4240270a84ad60951e392bf18a4577537d3b1556cbb6e1ac5f7ea8d4d3d130

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50e3f064634212495e5af5b56e8d90fe2fa3db7c2f4e3011d0f457d798ca1177",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-04-22T20:38:02Z",
    "title_canon_sha256": "29c2f0e62c76cea774ecca82972b8b0c528dd348f88e761aab90137beb033da3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.08165",
    "kind": "arxiv",
    "version": 2
  }
}