Pith Number

pith:APWTL7OT

pith:2015:APWTL7OTEUR76C6WWV5YIL63GJ

not attested not anchored not stored refs pending

Good Reduction for Endomorphisms of the Projective Line in Terms of the Branch Locus

J.K. Canci

arxiv:1505.05168 v1 · 2015-05-19 · math.NT · math.AG · 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{APWTL7OTEUR76C6WWV5YIL63GJ}

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	2026-05-18T02:03:59.261127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03ed35fdd32523ff0bd6b57b842fdb32415f098451d9167b0ac21b75b95745e9

Aliases

arxiv: 1505.05168 · arxiv_version: 1505.05168v1 · doi: 10.48550/arxiv.1505.05168 · pith_short_12: APWTL7OTEUR7 · pith_short_16: APWTL7OTEUR76C6W · pith_short_8: APWTL7OT

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/APWTL7OTEUR76C6WWV5YIL63GJ \
  | 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: 03ed35fdd32523ff0bd6b57b842fdb32415f098451d9167b0ac21b75b95745e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e9f12e464ac918043f86ff0a41fe4a81b9493e22ee1b5391259d324c3fbf51d",
    "cross_cats_sorted": [
      "math.AG",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-05-19T20:15:48Z",
    "title_canon_sha256": "87617333cb09145d76d4475442602ba078d3a5c1c65badfcb6776e4a09e9819b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.05168",
    "kind": "arxiv",
    "version": 1
  }
}