Pith Number

pith:P6JYBDF4

pith:2010:P6JYBDF4H43T2BXLOTWHNQL3LW

not attested not anchored not stored refs pending

Generalized and weighted Strichartz estimates

Chengbo Wang, Jin-Cheng Jiang, Xin Yu

arxiv:1008.5397 v2 · 2010-08-31 · 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{P6JYBDF4H43T2BXLOTWHNQL3LW}

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	2026-05-18T03:50:26.034028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f93808cbc3f373d06eb74ec76c17b5d80991582442ab35bd997de815c24e3de

Aliases

arxiv: 1008.5397 · arxiv_version: 1008.5397v2 · doi: 10.48550/arxiv.1008.5397 · pith_short_12: P6JYBDF4H43T · pith_short_16: P6JYBDF4H43T2BXL · pith_short_8: P6JYBDF4

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/P6JYBDF4H43T2BXLOTWHNQL3LW \
  | 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: 7f93808cbc3f373d06eb74ec76c17b5d80991582442ab35bd997de815c24e3de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0376ba57b4ad766dc9782ac2ff4d49c04feec3e43849cc1727f28f788420a006",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-08-31T19:35:59Z",
    "title_canon_sha256": "d396efc73650ce39df6d9de03ec8f7c12736380fcd2d5fc94aa419712c241fff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.5397",
    "kind": "arxiv",
    "version": 2
  }
}