Pith Number

pith:M4F5GVJS

pith:2011:M4F5GVJS5WRFU4UMMJK2ZFOU6S

not attested not anchored not stored refs pending

On some notions of good reduction for endomorphisms of the projective line

Dajano Tossici, Giulio Peruginelli, Jung Kyu Canci

arxiv:1103.3853 v1 · 2011-03-20 · math.NT · 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{M4F5GVJS5WRFU4UMMJK2ZFOU6S}

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	2026-05-18T04:26:22.206976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

670bd35532eda25a728c6255ac95d4f4871d6d5211fc6c5140bd1f85f7e29460

Aliases

arxiv: 1103.3853 · arxiv_version: 1103.3853v1 · doi: 10.48550/arxiv.1103.3853 · pith_short_12: M4F5GVJS5WRF · pith_short_16: M4F5GVJS5WRFU4UM · pith_short_8: M4F5GVJS

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/M4F5GVJS5WRFU4UMMJK2ZFOU6S \
  | 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: 670bd35532eda25a728c6255ac95d4f4871d6d5211fc6c5140bd1f85f7e29460

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd954f19525db6dd816f010b743a125ccff5160ed927dee628f398608bb4657d",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-03-20T14:11:58Z",
    "title_canon_sha256": "0b2c7ac77eaba4f1dafe621fd87ba69456e38d9bd52917d8151e2a9f57d3afd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3853",
    "kind": "arxiv",
    "version": 1
  }
}