Pith Number

pith:SSIDDCZE

pith:2011:SSIDDCZE6BGEYTNXAU4MPSHTL4

not attested not anchored not stored refs pending

Space-Time resonances and the null condition for (first order) systems of wave equations

Fabio Pusateri, Jalal Shatah

arxiv:1109.5662 v2 · 2011-09-26 · 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{SSIDDCZE6BGEYTNXAU4MPSHTL4}

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	2026-05-18T03:53:31.714735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9490318b24f04c4c4db70538c7c8f35f3bc03a4539a38f8badc562f78726df7b

Aliases

arxiv: 1109.5662 · arxiv_version: 1109.5662v2 · doi: 10.48550/arxiv.1109.5662 · pith_short_12: SSIDDCZE6BGE · pith_short_16: SSIDDCZE6BGEYTNX · pith_short_8: SSIDDCZE

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/SSIDDCZE6BGEYTNXAU4MPSHTL4 \
  | 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: 9490318b24f04c4c4db70538c7c8f35f3bc03a4539a38f8badc562f78726df7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1ea436d3befbf9c178586de9f03ca11a66d1000f2f75699477bfef500519b39",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-09-26T18:24:46Z",
    "title_canon_sha256": "fa8964ae820e0c834723771b07c0011d84b7442704db1d89984663b5e5673c63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5662",
    "kind": "arxiv",
    "version": 2
  }
}