Pith Number

pith:5R6WMRYI

pith:2021:5R6WMRYIUV2HH2GASUPLHNKJCB

not attested not anchored not stored refs pending

Entropy formula for systems with inducing schemes

David Mesquita, Jose F. Alves

arxiv:2104.12629 v2 · 2021-04-26 · 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{5R6WMRYIUV2HH2GASUPLHNKJCB}

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	2026-07-05T02:37:46.022406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec7d664708a57473e8c0951eb3b549105964e35b514271247157574d7aea90f9

Aliases

arxiv: 2104.12629 · arxiv_version: 2104.12629v2 · doi: 10.48550/arxiv.2104.12629 · pith_short_12: 5R6WMRYIUV2H · pith_short_16: 5R6WMRYIUV2HH2GA · pith_short_8: 5R6WMRYI

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/5R6WMRYIUV2HH2GASUPLHNKJCB \
  | 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: ec7d664708a57473e8c0951eb3b549105964e35b514271247157574d7aea90f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8918ebc5c63d00ab7e10d7300e27122f5b6bcef6ab5a987422e733b0aa8893d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2021-04-26T14:54:20Z",
    "title_canon_sha256": "b7ae19aa002de82dfa243db966dc4610c79657edd3e656612a23caa5c75469c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.12629",
    "kind": "arxiv",
    "version": 2
  }
}