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Pith Number

pith:NJZFHWE4

pith:2013:NJZFHWE4V5ZHOLRHNK3CTYO5RX
not attested not anchored not stored refs pending

Almost critical well-posedness for nonlinear wave equation with $Q_{\mu\nu}$ null forms in 2D

Andrea R. Nahmod, Viktor Grigoryan

arxiv:1307.6194 v1 · 2013-07-23 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{NJZFHWE4V5ZHOLRHNK3CTYO5RX}

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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 2026-05-18T03:17:45.098118Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6a7253d89caf72772e276ab629e1dd8dfdd315e5ec7d8140ce0ad35575b8145b

Aliases

arxiv: 1307.6194 · arxiv_version: 1307.6194v1 · doi: 10.48550/arxiv.1307.6194 · pith_short_12: NJZFHWE4V5ZH · pith_short_16: NJZFHWE4V5ZHOLRH · pith_short_8: NJZFHWE4
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/NJZFHWE4V5ZHOLRHNK3CTYO5RX \
  | 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: 6a7253d89caf72772e276ab629e1dd8dfdd315e5ec7d8140ce0ad35575b8145b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9b4cdaff6f4dbdfcae49452e635db2fe221c83d6996c84e0150b788118aa7554",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-07-23T19:09:27Z",
    "title_canon_sha256": "43e6940af84719178b23992ac1a274b463fc70d6273e7007a30c83ac55f7b102"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6194",
    "kind": "arxiv",
    "version": 1
  }
}