Pith Number

pith:M7TOWQDM

pith:2013:M7TOWQDMJA5LXTUEQYMVLTOZVK

not attested not anchored not stored refs pending

Attaining potentially good reduction in arithmetic dynamics

Robert L. Benedetto

arxiv:1312.4493 v2 · 2013-12-16 · 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{M7TOWQDMJA5LXTUEQYMVLTOZVK}

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	2026-05-18T02:30:15.796925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67e6eb406c483abbce84861955cdd9aaaa9d3a33e3582d2df54e5302e3134247

Aliases

arxiv: 1312.4493 · arxiv_version: 1312.4493v2 · doi: 10.48550/arxiv.1312.4493 · pith_short_12: M7TOWQDMJA5L · pith_short_16: M7TOWQDMJA5LXTUE · pith_short_8: M7TOWQDM

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/M7TOWQDMJA5LXTUEQYMVLTOZVK \
  | 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: 67e6eb406c483abbce84861955cdd9aaaa9d3a33e3582d2df54e5302e3134247

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08e502c006883b89fa1f081b95a36952c048a90d09f01eab2aed2f9e6494f688",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-12-16T20:02:40Z",
    "title_canon_sha256": "17de022fceef28aa9a0aaa9934b1bbd3502ea1df9c6b8a3df7e1d37469ba9621"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4493",
    "kind": "arxiv",
    "version": 2
  }
}