Pith Number

pith:Y4YLGP2V

pith:2009:Y4YLGP2VP5SP4WUYI6SJBH7TYE

not attested not anchored not stored refs pending

Involutivity of field equations

Boris Kruglikov

arxiv:0902.1685 v2 · 2009-02-10 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y4YLGP2VP5SP4WUYI6SJBH7TYE}

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	2026-05-18T02:14:48.482471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c730b33f557f64fe5a9847a4909ff3c13d074cd96f4c3866cc590c2d80a41551

Aliases

arxiv: 0902.1685 · arxiv_version: 0902.1685v2 · doi: 10.48550/arxiv.0902.1685 · pith_short_12: Y4YLGP2VP5SP · pith_short_16: Y4YLGP2VP5SP4WUY · pith_short_8: Y4YLGP2V

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/Y4YLGP2VP5SP4WUYI6SJBH7TYE \
  | 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: c730b33f557f64fe5a9847a4909ff3c13d074cd96f4c3866cc590c2d80a41551

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00ea7611a9b1272bb568ba498e196d6f3ff083556d783482538ddebd02afb20e",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-02-10T16:08:35Z",
    "title_canon_sha256": "4d474164bbf281ae47a7dba0718c7330ed0a25115e5e59ce2d507e42d8a48c3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.1685",
    "kind": "arxiv",
    "version": 2
  }
}