Pith Number

pith:MJROC5VR

pith:2003:MJROC5VRYIGYD6Z54SQ2H74Y5B

not attested not anchored not stored refs pending

On blowup for semilinear wave equations with a focusing nonlinearity

Piotr Bizo\'n, Tadeusz Chmaj, Zbislaw Tabor

arxiv:math-ph/0311019 v1 · 2003-11-12 · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MJROC5VRYIGYD6Z54SQ2H74Y5B}

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	2026-05-18T04:32:00.190271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6262e176b1c20d81fb3de4a1a3ff98e87fb6805010fc51c2556c92835ff22d44

Aliases

arxiv: math-ph/0311019 · arxiv_version: math-ph/0311019v1 · doi: 10.48550/arxiv.math-ph/0311019 · pith_short_12: MJROC5VRYIGY · pith_short_16: MJROC5VRYIGYD6Z5 · pith_short_8: MJROC5VR

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/MJROC5VRYIGYD6Z54SQ2H74Y5B \
  | 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: 6262e176b1c20d81fb3de4a1a3ff98e87fb6805010fc51c2556c92835ff22d44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7b71ec409af1a0fb54cdc6bc93800231b34ceaac695cfec8d5699981a0cab52",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2003-11-12T13:06:46Z",
    "title_canon_sha256": "3edbcbe3006423df1c6f9faab297e73d746b177070d32425e071c51d6110ad5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0311019",
    "kind": "arxiv",
    "version": 1
  }
}