Pith Number

pith:X66PIZIA

pith:2017:X66PIZIAW3GEQTBRZMTCJ5RFYV

not attested not anchored not stored refs pending

Semiclassical measures on hyperbolic surfaces have full support

Long Jin, Semyon Dyatlov

arxiv:1705.05019 v3 · 2017-05-14 · math.AP · math.SP · nlin.CD

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X66PIZIAW3GEQTBRZMTCJ5RFYV}

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	2026-05-18T00:08:00.871768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfbcf46500b6cc484c31cb2624f625c54c5e61aa85715f2cd217be1731eff34a

Aliases

arxiv: 1705.05019 · arxiv_version: 1705.05019v3 · doi: 10.48550/arxiv.1705.05019 · pith_short_12: X66PIZIAW3GE · pith_short_16: X66PIZIAW3GEQTBR · pith_short_8: X66PIZIA

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/X66PIZIAW3GEQTBRZMTCJ5RFYV \
  | 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: bfbcf46500b6cc484c31cb2624f625c54c5e61aa85715f2cd217be1731eff34a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ebde4e9f3a1c358cdc805f193c119f6e8412ff423c4f9ccc2946c9968891981",
    "cross_cats_sorted": [
      "math.SP",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-05-14T19:25:47Z",
    "title_canon_sha256": "a05623064212efc42a69aac64d5c450d8f6006564cf92a220c0ddfd0d9e9340b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.05019",
    "kind": "arxiv",
    "version": 3
  }
}