Pith Number

pith:VJK336U6

pith:2012:VJK336U6AFABEG7YFRCGET5EZG

not attested not anchored not stored refs pending

Near Sharp Strichartz estimates with loss in the presence of degenerate hyperbolic trapping

Hans Christianson

arxiv:1201.2464 v1 · 2012-01-12 · 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{VJK336U6AFABEG7YFRCGET5EZG}

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	2026-05-18T01:58:52.392716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa55bdfa9e0140121bf82c44624fa4c9aec1de33ace4cb61562b6e031a249b98

Aliases

arxiv: 1201.2464 · arxiv_version: 1201.2464v1 · doi: 10.48550/arxiv.1201.2464 · pith_short_12: VJK336U6AFAB · pith_short_16: VJK336U6AFABEG7Y · pith_short_8: VJK336U6

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/VJK336U6AFABEG7YFRCGET5EZG \
  | 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: aa55bdfa9e0140121bf82c44624fa4c9aec1de33ace4cb61562b6e031a249b98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ea21c0dfd6ef0d29a2bceeaaf3c639192861b6c2d628a0364230b6b6b496f02",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-01-12T02:29:05Z",
    "title_canon_sha256": "cf3cfc603a80e0ca95f942e778e234ed967752d002d7ad982d7aef88dec18f59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2464",
    "kind": "arxiv",
    "version": 1
  }
}