Pith Number

pith:R5HJVZGT

pith:2018:R5HJVZGTRVHMEOWX5JVU4MQ6AH

not attested not anchored not stored refs pending

Random non-hyperbolic exponential maps

Anna Zdunik, Mariusz Urba\'nski

arxiv:1805.08050 v1 · 2018-05-21 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R5HJVZGTRVHMEOWX5JVU4MQ6AH}

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	2026-05-18T00:15:31.835185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f4e9ae4d38d4ec23ad7ea6b4e321e01d8ddfe034456045cf5ee9639a6744a62

Aliases

arxiv: 1805.08050 · arxiv_version: 1805.08050v1 · doi: 10.48550/arxiv.1805.08050 · pith_short_12: R5HJVZGTRVHM · pith_short_16: R5HJVZGTRVHMEOWX · pith_short_8: R5HJVZGT

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/R5HJVZGTRVHMEOWX5JVU4MQ6AH \
  | 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: 8f4e9ae4d38d4ec23ad7ea6b4e321e01d8ddfe034456045cf5ee9639a6744a62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6058c7c3d5afdd8c77a5a8713e59abea6e6fa3446d94168ab5dc78be8000ed44",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-05-21T13:43:48Z",
    "title_canon_sha256": "fb0c8a82b501f619d49d0ffe0c3e391e54ad5f4a183009dfab4507383399b0b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.08050",
    "kind": "arxiv",
    "version": 1
  }
}