Pith Number

pith:CHQ4MRKM

pith:2017:CHQ4MRKMIBO5FVRZPRFKW63K7F

not attested not anchored not stored refs pending

Strichartz estimates for convex co-compact hyperbolic surfaces

Jian Wang

arxiv:1707.06310 v1 · 2017-07-19 · 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{CHQ4MRKMIBO5FVRZPRFKW63K7F}

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	2026-05-18T00:39:54.178213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11e1c6454c405dd2d6397c4aab7b6af958c2430d9fc8255a6010186b98d1f81f

Aliases

arxiv: 1707.06310 · arxiv_version: 1707.06310v1 · doi: 10.48550/arxiv.1707.06310 · pith_short_12: CHQ4MRKMIBO5 · pith_short_16: CHQ4MRKMIBO5FVRZ · pith_short_8: CHQ4MRKM

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/CHQ4MRKMIBO5FVRZPRFKW63K7F \
  | 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: 11e1c6454c405dd2d6397c4aab7b6af958c2430d9fc8255a6010186b98d1f81f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e565877241a5f29a0f46f5f379106d0e4d488921dff26844bdc5b09ab602d027",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-07-19T22:12:48Z",
    "title_canon_sha256": "d5d1b74ab2d6d97be96608cb5b43fb44b1a089f6cab33e812b24c3bdc10565ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.06310",
    "kind": "arxiv",
    "version": 1
  }
}