Pith Number

pith:YC5LZQZA

pith:2012:YC5LZQZAB5S5BLPJVZ3GVIH2LK

not attested not anchored not stored refs pending

Existence and Blow-Up Behavior for Solutions of the Generalized Jang Equation

Marcus Khuri, Qing Han

arxiv:1206.0079 v2 · 2012-06-01 · math.DG · gr-qc · 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{YC5LZQZAB5S5BLPJVZ3GVIH2LK}

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	2026-05-18T03:02:07.558086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0babcc3200f65d0ade9ae766aa0fa5a8a312f952230a3f0d05b82b12254f959

Aliases

arxiv: 1206.0079 · arxiv_version: 1206.0079v2 · doi: 10.48550/arxiv.1206.0079 · pith_short_12: YC5LZQZAB5S5 · pith_short_16: YC5LZQZAB5S5BLPJ · pith_short_8: YC5LZQZA

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/YC5LZQZAB5S5BLPJVZ3GVIH2LK \
  | 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: c0babcc3200f65d0ade9ae766aa0fa5a8a312f952230a3f0d05b82b12254f959

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2dd00427afd055fa6bb81b88a70da31a4cf1340ddaa30a673706789a3d1ff95",
    "cross_cats_sorted": [
      "gr-qc",
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-06-01T04:23:07Z",
    "title_canon_sha256": "bd2221dd194f9148cd3d1e58cda7ac8101d8a1fc59524e4ed6bda7b8daeede77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0079",
    "kind": "arxiv",
    "version": 2
  }
}