Pith Number

pith:L6SSVIKV

pith:2012:L6SSVIKV47QK2POTHTXEELRN33

not attested not anchored not stored refs pending

Bilinear Estimates and Applications to Global Well-posedness for the Dirac-Klein-Gordon Equation on R^{1+1}

Timothy Candy

arxiv:1202.1967 v1 · 2012-02-09 · 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{L6SSVIKV47QK2POTHTXEELRN33}

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	2026-05-18T04:02:38.661012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fa52aa155e7e0ad3dd33cee422e2dded35ffeb79c765efd99d7b420cd0dc40d

Aliases

arxiv: 1202.1967 · arxiv_version: 1202.1967v1 · doi: 10.48550/arxiv.1202.1967 · pith_short_12: L6SSVIKV47QK · pith_short_16: L6SSVIKV47QK2POT · pith_short_8: L6SSVIKV

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/L6SSVIKV47QK2POTHTXEELRN33 \
  | 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: 5fa52aa155e7e0ad3dd33cee422e2dded35ffeb79c765efd99d7b420cd0dc40d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "509b271f370e00c8b09601e08f2b71af1d22f54da72273278f627afc89d45804",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-02-09T13:01:39Z",
    "title_canon_sha256": "57a18bba6dd746784ff469a2793dff95e70aa81f267e3fd493cc104c69e2147c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1967",
    "kind": "arxiv",
    "version": 1
  }
}