Pith Number

pith:WZBPKBMI

pith:2019:WZBPKBMIRJFJQDXCUA7GL2TCK4

not attested not anchored not stored refs pending

Existence of isotropic complete solutions of the $\Pi$-Hamilton-Jacobi equation

Sergio Grillo

arxiv:1902.02280 v1 · 2019-02-06 · 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{WZBPKBMIRJFJQDXCUA7GL2TCK4}

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	2026-05-17T23:54:37.427887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b642f505888a4a980ee2a03e65ea62573d79c8052feee05b6908c7d38ec681c8

Aliases

arxiv: 1902.02280 · arxiv_version: 1902.02280v1 · doi: 10.48550/arxiv.1902.02280 · pith_short_12: WZBPKBMIRJFJ · pith_short_16: WZBPKBMIRJFJQDXC · pith_short_8: WZBPKBMI

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/WZBPKBMIRJFJQDXCUA7GL2TCK4 \
  | 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: b642f505888a4a980ee2a03e65ea62573d79c8052feee05b6908c7d38ec681c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c358127e7bef4018b2f87b6d7976eb3d3ee6f1bf4c0bb212ae00bb569f61f7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-02-06T17:16:08Z",
    "title_canon_sha256": "9814b8303c1053fa248d6ee23592cf7e2a98ff4f68e3f07800376ff9155d7101"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.02280",
    "kind": "arxiv",
    "version": 1
  }
}