Pith Number

pith:ZL4POTVG

pith:2010:ZL4POTVGUENI53B47ZH45XWRUA

not attested not anchored not stored refs pending

An integrability condition for fields of nilpotent endomorphisms

Charles Boubel (IRMA)

arxiv:1003.0979 v5 · 2010-03-04 · 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{ZL4POTVGUENI53B47ZH45XWRUA}

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	2026-05-18T04:25:28.431716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

caf8f74ea6a11a8eec3cfe4fceded1a03451b20f95f06fae8f0d8f35b1d94582

Aliases

arxiv: 1003.0979 · arxiv_version: 1003.0979v5 · doi: 10.48550/arxiv.1003.0979 · pith_short_12: ZL4POTVGUENI · pith_short_16: ZL4POTVGUENI53B4 · pith_short_8: ZL4POTVG

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/ZL4POTVGUENI53B47ZH45XWRUA \
  | 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: caf8f74ea6a11a8eec3cfe4fceded1a03451b20f95f06fae8f0d8f35b1d94582

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "234f686eae19f70a8abe2e68fad3352ff29c74de6cd8528760ca2bba3bcec0bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-03-04T07:27:27Z",
    "title_canon_sha256": "be81f9ffd6667bfa0150607bf43abf5be06796fd96b5dacd062e0390a8247117"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.0979",
    "kind": "arxiv",
    "version": 5
  }
}