Pith Number

pith:YRIUKHN2

pith:2015:YRIUKHN2PAR2ATY5LR2SQ7WN4B

not attested not anchored not stored refs pending

Categories of measurement functors. Entropy of discrete amenable group representations on abstract categories. Entropy as a bifunctor into $[0,\infty]$

Nikita Moriakov

arxiv:1509.07836 v2 · 2015-09-25 · 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{YRIUKHN2PAR2ATY5LR2SQ7WN4B}

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	2026-05-18T01:30:17.470622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c451451dba7823a04f1d5c75287ecde07d92bc9f4b2b5a85870b5c1487c09368

Aliases

arxiv: 1509.07836 · arxiv_version: 1509.07836v2 · doi: 10.48550/arxiv.1509.07836 · pith_short_12: YRIUKHN2PAR2 · pith_short_16: YRIUKHN2PAR2ATY5 · pith_short_8: YRIUKHN2

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/YRIUKHN2PAR2ATY5LR2SQ7WN4B \
  | 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: c451451dba7823a04f1d5c75287ecde07d92bc9f4b2b5a85870b5c1487c09368

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4e28dc03b7efe0f9290f145ec6ab8774db15363875cbec90b19e478bffa56b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-09-25T19:08:56Z",
    "title_canon_sha256": "4826143ba8e4ee2e983303a6905b20f403c2a334fc065eb6f5554255a3decf74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07836",
    "kind": "arxiv",
    "version": 2
  }
}