Pith Number

pith:AR453VY3

pith:2010:AR453VY3RJHGEPID3HOT7FAMK3

not attested not anchored not stored refs pending

Dispersive type estimates for Fourier integrals and applications to hyperbolic systems

Jens Wirth, Michael Ruzhansky

arxiv:1006.5600 v1 · 2010-06-29 · 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{AR453VY3RJHGEPID3HOT7FAMK3}

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	2026-05-18T03:59:49.643361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0479ddd71b8a4e623d03d9dd3f940c56d770b6e97beffb210aff4e878b1b4dd8

Aliases

arxiv: 1006.5600 · arxiv_version: 1006.5600v1 · doi: 10.48550/arxiv.1006.5600 · pith_short_12: AR453VY3RJHG · pith_short_16: AR453VY3RJHGEPID · pith_short_8: AR453VY3

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/AR453VY3RJHGEPID3HOT7FAMK3 \
  | 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: 0479ddd71b8a4e623d03d9dd3f940c56d770b6e97beffb210aff4e878b1b4dd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df6cf47a67dfb2adc43639058385547d912e553c4eb147d4e7045f5a23339c8d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-06-29T13:04:42Z",
    "title_canon_sha256": "204b9dcc726463b9f88f177699bbde06c0d49774fd8fcf85de80f7e6fa4b8a3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.5600",
    "kind": "arxiv",
    "version": 1
  }
}