Pith Number

pith:YW4UJQC3

pith:2010:YW4UJQC36ASB3JOJSPSEE3WQIU

not attested not anchored not stored refs pending

Dispersive estimates for hyperbolic systems with time-dependent coefficients

Jens Wirth, Michael Ruzhansky

arxiv:1005.2492 v2 · 2010-05-14 · 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{YW4UJQC36ASB3JOJSPSEE3WQIU}

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	2026-05-18T04:20:05.022750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5b944c05bf0241da5c993e4426ed04502a4dbb552f6d7492ebe3d0e2b37d95b

Aliases

arxiv: 1005.2492 · arxiv_version: 1005.2492v2 · doi: 10.48550/arxiv.1005.2492 · pith_short_12: YW4UJQC36ASB · pith_short_16: YW4UJQC36ASB3JOJ · pith_short_8: YW4UJQC3

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/YW4UJQC36ASB3JOJSPSEE3WQIU \
  | 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: c5b944c05bf0241da5c993e4426ed04502a4dbb552f6d7492ebe3d0e2b37d95b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac7c7ed8e1bec81b14a078bcd5556f188fb9c5b41563158bbfc177a5ae92a36c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-05-14T10:10:01Z",
    "title_canon_sha256": "35e614ef55739d706f551cd1cf11f35ce63cbc7bc3b37d956f9d9b1bf3b4641c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.2492",
    "kind": "arxiv",
    "version": 2
  }
}