Pith Number

pith:IOTJQC27

pith:2016:IOTJQC27BTWW5PBXB7A643C2J6

not attested not anchored not stored refs pending

Generic Points of shift-Invariant Measures in the Countable Symbolic Space

Ai-Hua Fan (LAMFA), Ji-Hua Ma, Ming-tian Li

arxiv:1601.08019 v1 · 2016-01-29 · 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{IOTJQC27BTWW5PBXB7A643C2J6}

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	2026-05-18T01:21:41.223651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43a6980b5f0ced6ebc370fc1ee6c5a4f9b73fbb018e66241c01bbe814cabcb8e

Aliases

arxiv: 1601.08019 · arxiv_version: 1601.08019v1 · doi: 10.48550/arxiv.1601.08019 · pith_short_12: IOTJQC27BTWW · pith_short_16: IOTJQC27BTWW5PBX · pith_short_8: IOTJQC27

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/IOTJQC27BTWW5PBXB7A643C2J6 \
  | 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: 43a6980b5f0ced6ebc370fc1ee6c5a4f9b73fbb018e66241c01bbe814cabcb8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc9e8a4fd19fda8e8912810683703d0f71947e1efcec431b6e4516325f2b70ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-01-29T10:01:27Z",
    "title_canon_sha256": "e831874a132ec471a14f21c3932d63fa7a86a47c00146bae6a662b39afa653a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.08019",
    "kind": "arxiv",
    "version": 1
  }
}