Pith Number

pith:Q3YDTBNE

pith:2018:Q3YDTBNEPCEP2RGCFYAYICOFEY

not attested not anchored not stored refs pending

Families of explicit quasi-hyperbolic and hyperbolic surfaces

Giancarlo Urz\'ua, Natalia Garcia-Fritz

arxiv:1804.07671 v1 · 2018-04-20 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q3YDTBNEPCEP2RGCFYAYICOFEY}

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	2026-05-18T00:17:58.101320Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86f03985a47888fd44c22e018409c526001bcbd81c770f42c7c94054c7274ad3

Aliases

arxiv: 1804.07671 · arxiv_version: 1804.07671v1 · doi: 10.48550/arxiv.1804.07671 · pith_short_12: Q3YDTBNEPCEP · pith_short_16: Q3YDTBNEPCEP2RGC · pith_short_8: Q3YDTBNE

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/Q3YDTBNEPCEP2RGCFYAYICOFEY \
  | 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: 86f03985a47888fd44c22e018409c526001bcbd81c770f42c7c94054c7274ad3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b82e4fcbe98903467f1199851b31da691be7f5d0a082d71028e502fefbcaba91",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-04-20T15:24:27Z",
    "title_canon_sha256": "224b65520a75835aa44290822b24194ea41ff50ce04c3c609c84c4598b9b2c15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.07671",
    "kind": "arxiv",
    "version": 1
  }
}