Pith Number

pith:PPAGNYPL

pith:2015:PPAGNYPLXSMANKEZSEZ7RTT56F

not attested not anchored not stored refs pending

Estimates of the Kobayashi and quasi-hyperbolic distances

Lyubomir Andreev, Nikolai Nikolov

arxiv:1510.01571 v3 · 2015-10-06 · math.CV · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PPAGNYPLXSMANKEZSEZ7RTT56F}

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	2026-05-18T00:27:47.343131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bc066e1ebbc9806a8999133f8ce7df14e3e51e5991b6e48756fdef8f1f17ea2

Aliases

arxiv: 1510.01571 · arxiv_version: 1510.01571v3 · doi: 10.48550/arxiv.1510.01571 · pith_short_12: PPAGNYPLXSMA · pith_short_16: PPAGNYPLXSMANKEZ · pith_short_8: PPAGNYPL

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/PPAGNYPLXSMANKEZSEZ7RTT56F \
  | 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: 7bc066e1ebbc9806a8999133f8ce7df14e3e51e5991b6e48756fdef8f1f17ea2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08ab5b20fedb4cf94da1b9917cdced588715d672cd133a88bcf2f08802813d23",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-10-06T13:35:21Z",
    "title_canon_sha256": "1956ffa63a377620f34228bfd9dec080d4e7e05a60268755bf32e8dc4baa72a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01571",
    "kind": "arxiv",
    "version": 3
  }
}