Pith Number

pith:VGTGXOS2

pith:2015:VGTGXOS2WN4PKSPPTZX67EIG5R

not attested not anchored not stored refs pending

Quantitative statistical stability and convergence to equilibrium. An application to maps with indifferent fixed points

Stefano Galatolo

arxiv:1512.01646 v2 · 2015-12-05 · 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{VGTGXOS2WN4PKSPPTZX67EIG5R}

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	2026-05-18T01:10:59.613970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9a66bba5ab378f549ef9e6fef9106ec403ce250bb6600e0bf9bbba70ae596c2

Aliases

arxiv: 1512.01646 · arxiv_version: 1512.01646v2 · doi: 10.48550/arxiv.1512.01646 · pith_short_12: VGTGXOS2WN4P · pith_short_16: VGTGXOS2WN4PKSPP · pith_short_8: VGTGXOS2

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/VGTGXOS2WN4PKSPPTZX67EIG5R \
  | 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: a9a66bba5ab378f549ef9e6fef9106ec403ce250bb6600e0bf9bbba70ae596c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3887c101d3f1208ee84ba7e54b088e92154f3edf79fe0838a961881e8586d2b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-12-05T09:39:35Z",
    "title_canon_sha256": "11fdd897d33986939bbfaee14e775dbdaa9031c1ebe9b19b3cd0139705129084"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01646",
    "kind": "arxiv",
    "version": 2
  }
}