Pith Number

pith:TUNA7MY5

pith:2014:TUNA7MY5H4ZGVMIJI4AKDGZ36D

not attested not anchored not stored refs pending

An Equidistribution Result For Dynamical Systems on the Berkovich Projective Line

Kenneth Jacobs

arxiv:1409.4808 v2 · 2014-09-16 · 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{TUNA7MY5H4ZGVMIJI4AKDGZ36D}

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	2026-05-18T00:45:27.125807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d1a0fb31d3f326ab1094700a19b3bf0d869edf0d382b7bed4137266985a5d73

Aliases

arxiv: 1409.4808 · arxiv_version: 1409.4808v2 · doi: 10.48550/arxiv.1409.4808 · pith_short_12: TUNA7MY5H4ZG · pith_short_16: TUNA7MY5H4ZGVMIJ · pith_short_8: TUNA7MY5

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/TUNA7MY5H4ZGVMIJI4AKDGZ36D \
  | 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: 9d1a0fb31d3f326ab1094700a19b3bf0d869edf0d382b7bed4137266985a5d73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bb66fe33e8889d22a59a7bcfd2a408488e91f4fec6b153e33f84bae849ee839",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-09-16T21:23:34Z",
    "title_canon_sha256": "54be5c00333ac5243e5d0245cbd3d6bd64eeee67e232175fb57e57eab5dd651e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.4808",
    "kind": "arxiv",
    "version": 2
  }
}