Pith Number

pith:FQPDPM3W

pith:2012:FQPDPM3WHQSZ233AYAMBJ6FXJO

not attested not anchored not stored refs pending

Nondispersive solutions to the L2-critical half-wave equation

Enno Lenzmann, Joachim Krieger, Pierre Raphael

arxiv:1203.2476 v1 · 2012-03-12 · math.AP · math-ph · 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{FQPDPM3WHQSZ233AYAMBJ6FXJO}

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	2026-05-18T01:58:10.025665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c1e37b3763c259d6f60c01814f8b74bad207394e2a3b66afba6ce7b4fbc8620

Aliases

arxiv: 1203.2476 · arxiv_version: 1203.2476v1 · doi: 10.48550/arxiv.1203.2476 · pith_short_12: FQPDPM3WHQSZ · pith_short_16: FQPDPM3WHQSZ233A · pith_short_8: FQPDPM3W

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/FQPDPM3WHQSZ233AYAMBJ6FXJO \
  | 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: 2c1e37b3763c259d6f60c01814f8b74bad207394e2a3b66afba6ce7b4fbc8620

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc7a6075f232b635ed34625eba89eeb8063e541e59c1d0424cd0dd829fca42d4",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-03-12T12:49:58Z",
    "title_canon_sha256": "c227d49020e1ae31d8b8e1bf828c24e5388320532bdbf7ff4ef0c4d3a17f1f19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2476",
    "kind": "arxiv",
    "version": 1
  }
}