Pith Number

pith:K5EV22Q5

pith:2011:K5EV22Q5BHUC7SKZQFVZNMGQS4

not attested not anchored not stored refs pending

On the well-posedness of weakly hyperbolic equations with time dependent coefficients

Claudia Garetto, Michael Ruzhansky

arxiv:1107.2565 v2 · 2011-07-13 · 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{K5EV22Q5BHUC7SKZQFVZNMGQS4}

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	2026-05-18T03:42:34.095160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57495d6a1d09e82fc959816b96b0d09729465833f1cc38aa07ef46423e421b3e

Aliases

arxiv: 1107.2565 · arxiv_version: 1107.2565v2 · doi: 10.48550/arxiv.1107.2565 · pith_short_12: K5EV22Q5BHUC · pith_short_16: K5EV22Q5BHUC7SKZ · pith_short_8: K5EV22Q5

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/K5EV22Q5BHUC7SKZQFVZNMGQS4 \
  | 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: 57495d6a1d09e82fc959816b96b0d09729465833f1cc38aa07ef46423e421b3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db4f12fecd209f1b276734c576f200478ca13db2851cb055c1a8a10e398f22f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-07-13T14:51:20Z",
    "title_canon_sha256": "c5edac789b4666dd0f940753b4008b33d80302b41253a27c1ed43404747d7906"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2565",
    "kind": "arxiv",
    "version": 2
  }
}