Pith Number

pith:YK4BN4KQ

pith:2006:YK4BN4KQXAOEV2LYMDZIIRBASV

not attested not anchored not stored refs pending

Square summability of variations and convergence of the transfer operator

Anders Johansson, Anders \"Oberg

arxiv:math/0612131 v1 · 2006-12-05 · math.DS · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YK4BN4KQXAOEV2LYMDZIIRBASV}

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	2026-05-18T02:32:22.880071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2b816f150b81c4ae97860f2844420954c6ad8a528773122ca9302afd2cc6d9f

Aliases

arxiv: math/0612131 · arxiv_version: math/0612131v1 · doi: 10.48550/arxiv.math/0612131 · pith_short_12: YK4BN4KQXAOE · pith_short_16: YK4BN4KQXAOEV2LY · pith_short_8: YK4BN4KQ

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/YK4BN4KQXAOEV2LYMDZIIRBASV \
  | 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: c2b816f150b81c4ae97860f2844420954c6ad8a528773122ca9302afd2cc6d9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "812b10258e2a18a252386a468769f8e96509fd28ec480b26b6996c096f18f080",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2006-12-05T20:35:37Z",
    "title_canon_sha256": "99809ee155d6b3c09eb106c53c550570ab1d5204501738d7ffbd7a5b66672600"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612131",
    "kind": "arxiv",
    "version": 1
  }
}