Pith Number

pith:TMPKWGMI

pith:2013:TMPKWGMIWI6B2DGXLUXWNZZOPJ

not attested not anchored not stored refs pending

Ergodic properties of random holomorphic endomorphisms of $\Bbb{P}^k$

Turgay Bayraktar

arxiv:1305.6342 v3 · 2013-05-27 · math.DS · math.CV · 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{TMPKWGMIWI6B2DGXLUXWNZZOPJ}

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	2026-05-18T02:22:30.170854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b1eab1988b23c1d0cd75d2f66e72e7a6588609fcc759111e5a89262d8caf529

Aliases

arxiv: 1305.6342 · arxiv_version: 1305.6342v3 · doi: 10.48550/arxiv.1305.6342 · pith_short_12: TMPKWGMIWI6B · pith_short_16: TMPKWGMIWI6B2DGX · pith_short_8: TMPKWGMI

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/TMPKWGMIWI6B2DGXLUXWNZZOPJ \
  | 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: 9b1eab1988b23c1d0cd75d2f66e72e7a6588609fcc759111e5a89262d8caf529

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "872606b9cfcc97a11a4b3fe6fa828dbb9fd7985c6a053dc22ca7c8b6cc5e1839",
    "cross_cats_sorted": [
      "math.CV",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-05-27T23:33:12Z",
    "title_canon_sha256": "2d07def1fc0e21eb64594ad625fa67b30d59d678f15561c0e0de4fd9645a614e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6342",
    "kind": "arxiv",
    "version": 3
  }
}