Pith Number

pith:2KJPLGW5

pith:2012:2KJPLGW56RRZQ7LFXETR7HSZXL

not attested not anchored not stored refs pending

Random minimality and continuity of invariant graphs in random dynamical systems

Gerhard Keller, Tobias J\"ager

arxiv:1211.5885 v2 · 2012-11-26 · 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{2KJPLGW56RRZQ7LFXETR7HSZXL}

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	2026-05-18T00:52:55.737461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d292f59addf463987d65b9271f9e59bafd9fadd627f6100babe271b14ceda5b3

Aliases

arxiv: 1211.5885 · arxiv_version: 1211.5885v2 · doi: 10.48550/arxiv.1211.5885 · pith_short_12: 2KJPLGW56RRZ · pith_short_16: 2KJPLGW56RRZQ7LF · pith_short_8: 2KJPLGW5

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/2KJPLGW56RRZQ7LFXETR7HSZXL \
  | 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: d292f59addf463987d65b9271f9e59bafd9fadd627f6100babe271b14ceda5b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53440cb58b0f1c11333cc9df9d4382897c1c92c2169a42c2b9de73ba2ea18501",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-11-26T08:40:53Z",
    "title_canon_sha256": "04e006d6d51739c3005b3e95568c5a830242868e66309e40ce40313f39ee7ab3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5885",
    "kind": "arxiv",
    "version": 2
  }
}