Pith Number

pith:P64PWRFH

pith:2023:P64PWRFH2TDSMPFLMDZAQIBVKN

not attested not anchored not stored refs pending

Minimal degree fibrations in curves and the asymptotic degree of irrationality of divisors

Brooke Ullery, David Stapleton, Jake Levinson

arxiv:2304.09963 v1 · 2023-04-19 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P64PWRFH2TDSMPFLMDZAQIBVKN}

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.

Cited by

1 paper in Pith

A primer on measures of irrationality

Receipt and verification

First computed	2026-07-05T06:02:52.549130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fb8fb44a7d4c7263cab60f2082035535df64ac58d40affef46e965a43f90a57

Aliases

arxiv: 2304.09963 · arxiv_version: 2304.09963v1 · doi: 10.48550/arxiv.2304.09963 · pith_short_12: P64PWRFH2TDS · pith_short_16: P64PWRFH2TDSMPFL · pith_short_8: P64PWRFH

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/P64PWRFH2TDSMPFLMDZAQIBVKN \
  | 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: 7fb8fb44a7d4c7263cab60f2082035535df64ac58d40affef46e965a43f90a57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bca33591135c0257d52fa1a021786acff43237d7910e44356eb0a5457d752359",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-04-19T20:49:13Z",
    "title_canon_sha256": "e7eeb23c3d3315f310047c02e4fd6be3b7554f21a5f5e7d806c159284310c0a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.09963",
    "kind": "arxiv",
    "version": 1
  }
}