Pith Number

pith:T4R4Z6TE

pith:2016:T4R4Z6TE7AC57XIGVDSNCOLZBI

not attested not anchored not stored refs pending

Large deviation principle in one-dimensional dynamics

Hiroki Takahasi, Juan Rivera-Letelier, Yong Moo Chung

arxiv:1610.00822 v2 · 2016-10-04 · 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{T4R4Z6TE7AC57XIGVDSNCOLZBI}

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	2026-05-17T23:40:21.098733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f23ccfa64f805dfdd06a8e4d139790a0ed018b3dfe4775aa029ec8011061fd2

Aliases

arxiv: 1610.00822 · arxiv_version: 1610.00822v2 · doi: 10.48550/arxiv.1610.00822 · pith_short_12: T4R4Z6TE7AC5 · pith_short_16: T4R4Z6TE7AC57XIG · pith_short_8: T4R4Z6TE

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/T4R4Z6TE7AC57XIGVDSNCOLZBI \
  | 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: 9f23ccfa64f805dfdd06a8e4d139790a0ed018b3dfe4775aa029ec8011061fd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a54bed34fd94318cebce63aba71ebf9fe4cd4b538d557fcf70d2f03109987a99",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-10-04T02:08:44Z",
    "title_canon_sha256": "99a14b6f3fddeea0b59e4ffd2611c0cc958645f720845f4884a6f5920672e108"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.00822",
    "kind": "arxiv",
    "version": 2
  }
}