Pith Number

pith:HKNXMCQQ

pith:2004:HKNXMCQQTJZDLTLVYVUF5R2UGF

not attested not anchored not stored refs pending

Sharp Strichartz estimates on non-trapping asymptotically conic manifolds

Andrew Hassell, Jared Wunsch, Terence Tao

arxiv:math/0408273 v1 · 2004-08-20 · 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{HKNXMCQQTJZDLTLVYVUF5R2UGF}

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	2026-05-18T01:05:26.073276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a9b760a109a7235cd75c5685ec754314fbfae61372f85416d819e8603966d96

Aliases

arxiv: math/0408273 · arxiv_version: math/0408273v1 · doi: 10.48550/arxiv.math/0408273 · pith_short_12: HKNXMCQQTJZD · pith_short_16: HKNXMCQQTJZDLTLV · pith_short_8: HKNXMCQQ

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/HKNXMCQQTJZDLTLVYVUF5R2UGF \
  | 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: 3a9b760a109a7235cd75c5685ec754314fbfae61372f85416d819e8603966d96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8ca2c0f8f56ca9344c006042cd8aaaee0bacf62eb42b9b2d7d58b3f8c96163c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2004-08-20T05:21:35Z",
    "title_canon_sha256": "f01c75eb2c5d71d56c350115da66878d798bef4670e1d07c45e0a2f1862b236c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0408273",
    "kind": "arxiv",
    "version": 1
  }
}