Pith Number

pith:PFH4RYXP

pith:2018:PFH4RYXP727K7SYFDEQYGYOMSX

not attested not anchored not stored refs pending

Blow-up and lifespan estimate to a nonlinear wave equation in Schwarzschild spacetime

Ning-An Lai

arxiv:1812.06542 v1 · 2018-12-16 · 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{PFH4RYXP727K7SYFDEQYGYOMSX}

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	2026-05-17T23:58:09.943532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

794fc8e2effebeafcb0519218361cc95f9cdec91c62e968666304b99af6fd9fd

Aliases

arxiv: 1812.06542 · arxiv_version: 1812.06542v1 · doi: 10.48550/arxiv.1812.06542 · pith_short_12: PFH4RYXP727K · pith_short_16: PFH4RYXP727K7SYF · pith_short_8: PFH4RYXP

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/PFH4RYXP727K7SYFDEQYGYOMSX \
  | 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: 794fc8e2effebeafcb0519218361cc95f9cdec91c62e968666304b99af6fd9fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59ebb7757d272362255a77b2d13d98f60341dd97a2462fb6ba6cff096264080a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-12-16T22:00:19Z",
    "title_canon_sha256": "d012f6807c3924dd7adc6c863d996675e99f50001bba9053d2d4ed3eb15e52da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.06542",
    "kind": "arxiv",
    "version": 1
  }
}