Pith Number

pith:R43A6AAG

pith:2019:R43A6AAGCH65Z5FEGPCPMHYRV7

not attested not anchored not stored refs pending

Physical-like Measures Coincide with Invariant Measures Supported on Chain Recurrent Classes

Xueting Tian

arxiv:1907.08755 v1 · 2019-07-20 · 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{R43A6AAGCH65Z5FEGPCPMHYRV7}

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	2026-05-17T23:40:05.469494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f360f000611fddcf4a433c4f61f11aff2d56394b7099ce3da2f06a3b3675dff

Aliases

arxiv: 1907.08755 · arxiv_version: 1907.08755v1 · doi: 10.48550/arxiv.1907.08755 · pith_short_12: R43A6AAGCH65 · pith_short_16: R43A6AAGCH65Z5FE · pith_short_8: R43A6AAG

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/R43A6AAGCH65Z5FEGPCPMHYRV7 \
  | 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: 8f360f000611fddcf4a433c4f61f11aff2d56394b7099ce3da2f06a3b3675dff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa51ddce689102177723b0f43e1937874c51a077a09800a0286e0056e84460e4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-07-20T05:00:12Z",
    "title_canon_sha256": "54a2ffb0d35adb362c61f9b3f5602f4a1300269d04b586afbe92eb24c6f7efd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.08755",
    "kind": "arxiv",
    "version": 1
  }
}