Pith Number

pith:OQDI3OIK

pith:2013:OQDI3OIK3FOHJDCDOWLP33O4UJ

not attested not anchored not stored refs pending

Time-dependent loss of derivatives for hyperbolic operators with non regular coefficients

Daniele Del Santo, Ferruccio Colombini, Francesco Fanelli, Guy M\'etivier

arxiv:1305.1095 v1 · 2013-05-06 · 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{OQDI3OIK3FOHJDCDOWLP33O4UJ}

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	2026-05-18T03:12:59.878176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74068db90ad95c748c437596fdeddca24831840620f20582e7b8fbfe9c429521

Aliases

arxiv: 1305.1095 · arxiv_version: 1305.1095v1 · doi: 10.48550/arxiv.1305.1095 · pith_short_12: OQDI3OIK3FOH · pith_short_16: OQDI3OIK3FOHJDCD · pith_short_8: OQDI3OIK

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/OQDI3OIK3FOHJDCDOWLP33O4UJ \
  | 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: 74068db90ad95c748c437596fdeddca24831840620f20582e7b8fbfe9c429521

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c94da2a63a125808c2522923d0a4deb75771460c0bfd9edf45b5804905c0fa2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-05-06T06:45:51Z",
    "title_canon_sha256": "6430ccfa8d00e4f812b97391214c8f37350f8266207f5acfeaeb9e1e1401faf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1095",
    "kind": "arxiv",
    "version": 1
  }
}