Pith Number

pith:3UGA7VST

pith:1994:3UGA7VSTVJMNYGEXK6JDSX4HGA

not attested not anchored not stored refs pending

On the Asymptotic Behavior of Counting Functions Associated to Degenerating Hyperbolic Riemann Surfaces

Jay Jorgenson, Jonathan Huntley, Rolf Lundelius

arxiv:math/9412221 v1 · 1994-12-14 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3UGA7VSTVJMNYGEXK6JDSX4HGA}

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	2026-05-18T01:05:50.741442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd0c0fd653aa58dc18975792395f87301f5283248e920fd70649a16eb8b23878

Aliases

arxiv: math/9412221 · arxiv_version: math/9412221v1 · doi: 10.48550/arxiv.math/9412221 · pith_short_12: 3UGA7VSTVJMN · pith_short_16: 3UGA7VSTVJMNYGEX · pith_short_8: 3UGA7VST

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/3UGA7VSTVJMNYGEXK6JDSX4HGA \
  | 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: dd0c0fd653aa58dc18975792395f87301f5283248e920fd70649a16eb8b23878

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "508256144824511f1dd30e53e37ce61c5ec44a12c5feee8a877a86b6d5862453",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "1994-12-14T00:00:00Z",
    "title_canon_sha256": "8dfb362cd396b19e3ef231ba44518097a01402a8c6ac2d2b6e6cdaebd0a7f429"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9412221",
    "kind": "arxiv",
    "version": 1
  }
}