Pith Number

pith:VJPNKEHY

pith:2013:VJPNKEHY6GIO5WZS3ORFUC3DQZ

not attested not anchored not stored refs pending

Optimal cycles in ultrametric dynamics and minimally ramified power series

Juan Rivera-Letelier, Karl-Olof Lindahl

arxiv:1311.4478 v3 · 2013-11-18 · math.DS · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VJPNKEHY6GIO5WZS3ORFUC3DQZ}

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	2026-05-17T23:53:14.875276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa5ed510f8f190eedb32dba25a0b6386627f095a58b3c3f82d56c3da3a15c0ef

Aliases

arxiv: 1311.4478 · arxiv_version: 1311.4478v3 · doi: 10.48550/arxiv.1311.4478 · pith_short_12: VJPNKEHY6GIO · pith_short_16: VJPNKEHY6GIO5WZS · pith_short_8: VJPNKEHY

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/VJPNKEHY6GIO5WZS3ORFUC3DQZ \
  | 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: aa5ed510f8f190eedb32dba25a0b6386627f095a58b3c3f82d56c3da3a15c0ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9aa8d471b15dff7d77f9b5f6a0bc9e7f896dc525a1af650d7dc17299869dccd4",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-11-18T18:20:13Z",
    "title_canon_sha256": "8742d602168691b12f5c88742b734a17835ce50b3b9d74e1612b1101fa6c71a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4478",
    "kind": "arxiv",
    "version": 3
  }
}