Pith Number

pith:KQNLFQIB

pith:2012:KQNLFQIBVDND65MABJUHAZPLRZ

not attested not anchored not stored refs pending

Parametrix for wave equations on a rough background IV: control of the error term

Jeremie Szeftel

arxiv:1204.1771 v1 · 2012-04-08 · math.AP · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KQNLFQIBVDND65MABJUHAZPLRZ}

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	2026-05-18T03:58:15.219071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

541ab2c101a8da3f75800a687065eb8e59d0bf6ec14ef2fe3145a57678eea4e9

Aliases

arxiv: 1204.1771 · arxiv_version: 1204.1771v1 · doi: 10.48550/arxiv.1204.1771 · pith_short_12: KQNLFQIBVDND · pith_short_16: KQNLFQIBVDND65MA · pith_short_8: KQNLFQIB

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/KQNLFQIBVDND65MABJUHAZPLRZ \
  | 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: 541ab2c101a8da3f75800a687065eb8e59d0bf6ec14ef2fe3145a57678eea4e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f1ed9999f50de80fe3886b78cfd2067d6236f3a4268d6f17c729c63098c83f9",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-04-08T23:23:14Z",
    "title_canon_sha256": "d0f7da11012b0185de6183bbe3621870b436f251eed25abf9dd1efa88d43308f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1771",
    "kind": "arxiv",
    "version": 1
  }
}