Pith Number

pith:QWDPYKA5

pith:2015:QWDPYKA5N6EOAOO5W4UKEHZSAJ

not attested not anchored not stored refs pending

Improved restriction estimate for hyperbolic surfaces in R3

Chuhee Cho, Jungjin Lee

arxiv:1510.00506 v2 · 2015-10-02 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QWDPYKA5N6EOAOO5W4UKEHZSAJ}

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	2026-05-18T01:00:19.709279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8586fc281d6f88e039ddb728a21f32025f6708e5888dff0383cd92aa037d6b7b

Aliases

arxiv: 1510.00506 · arxiv_version: 1510.00506v2 · doi: 10.48550/arxiv.1510.00506 · pith_short_12: QWDPYKA5N6EO · pith_short_16: QWDPYKA5N6EOAOO5 · pith_short_8: QWDPYKA5

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/QWDPYKA5N6EOAOO5W4UKEHZSAJ \
  | 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: 8586fc281d6f88e039ddb728a21f32025f6708e5888dff0383cd92aa037d6b7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46e158a0798f2c6951fc7c1fb4c98343f9e02fc9b821141f6a66e7b1d440f451",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-10-02T07:07:13Z",
    "title_canon_sha256": "3e461e3a0871d9d2a756d8762f8a5232e40c7149dc6ab9a14607aaade6119b6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.00506",
    "kind": "arxiv",
    "version": 2
  }
}