Pith Number

pith:PNQJCDH3

pith:2012:PNQJCDH3HGIYOXGVZSRTMFQQYX

not attested not anchored not stored refs pending

On the lifespan of and the blowup mechanism for smooth solutions to a class of 2-D nonlinear wave equations with small initial data

Bingbing Ding (Nanjing University), Huicheng Yin (Nanjing University), Ingo Witt (University of G\"ottingen)

arxiv:1210.7980 v1 · 2012-10-30 · 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{PNQJCDH3HGIYOXGVZSRTMFQQYX}

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	2026-05-18T03:41:57.461101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b60910cfb3991875cd5cca3361610c5d037492a2db615dc07e4c4b8753e4110

Aliases

arxiv: 1210.7980 · arxiv_version: 1210.7980v1 · doi: 10.48550/arxiv.1210.7980 · pith_short_12: PNQJCDH3HGIY · pith_short_16: PNQJCDH3HGIYOXGV · pith_short_8: PNQJCDH3

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/PNQJCDH3HGIYOXGVZSRTMFQQYX \
  | 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: 7b60910cfb3991875cd5cca3361610c5d037492a2db615dc07e4c4b8753e4110

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36d8eddb81190cc9198edbcba051798b6453def8256b3384cba3d43db8144786",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-10-30T12:25:09Z",
    "title_canon_sha256": "2d0a1fe6f684bbace66fe9975d8c8eb0957edf0923a64a0a48295bedbceeb8d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7980",
    "kind": "arxiv",
    "version": 1
  }
}