Pith Number

pith:CVMDTU57

pith:2019:CVMDTU57U7VVTZ7U2GEKI74Y7R

not attested not anchored not stored refs pending

Dynamical uniform boundedness and the $abc$-conjecture

Nicole Looper

arxiv:1901.04385 v1 · 2019-01-14 · math.NT · 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{CVMDTU57U7VVTZ7U2GEKI74Y7R}

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	2026-05-17T23:56:25.660941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

155839d3bfa7eb59e7f4d188a47f98fc511a872da5b6c8714d5ffe24c7829aed

Aliases

arxiv: 1901.04385 · arxiv_version: 1901.04385v1 · doi: 10.48550/arxiv.1901.04385 · pith_short_12: CVMDTU57U7VV · pith_short_16: CVMDTU57U7VVTZ7U · pith_short_8: CVMDTU57

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/CVMDTU57U7VVTZ7U2GEKI74Y7R \
  | 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: 155839d3bfa7eb59e7f4d188a47f98fc511a872da5b6c8714d5ffe24c7829aed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6654ac4f8ca90f5d9d5751b0a0838a6aa88cb9932c72def3b99a3c3c666e926",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-01-14T16:35:14Z",
    "title_canon_sha256": "84d025fc8475f45ff459a717d26c33a8e827facca70002b281f7a9238fdc3fa1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.04385",
    "kind": "arxiv",
    "version": 1
  }
}