Pith Number

pith:RJ35STUW

pith:2016:RJ35STUWXEMMKNUY5KEJJKMQVZ

not attested not anchored not stored refs pending

Comparing entropy rates on finite and infinite rooted trees

Thomas Hirschler, Wolfgang Woess

arxiv:1611.07214 v2 · 2016-11-22 · cs.IT · math.IT · 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{RJ35STUWXEMMKNUY5KEJJKMQVZ}

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	2026-05-18T00:46:04.253847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a77d94e96b918c53698ea8894a990ae6e449477ef8d4f0200c031797f43e2e6

Aliases

arxiv: 1611.07214 · arxiv_version: 1611.07214v2 · doi: 10.48550/arxiv.1611.07214 · pith_short_12: RJ35STUWXEMM · pith_short_16: RJ35STUWXEMMKNUY · pith_short_8: RJ35STUW

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/RJ35STUWXEMMKNUY5KEJJKMQVZ \
  | 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: 8a77d94e96b918c53698ea8894a990ae6e449477ef8d4f0200c031797f43e2e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0d282e59487d59440615e03b202fc20724f1c2d1448872d4c501c6ae1589300",
    "cross_cats_sorted": [
      "math.IT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-11-22T09:36:26Z",
    "title_canon_sha256": "fba22623bbfc710975cecaf19a16b607dbe94a6968b1110f1d4d838059d5c799"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.07214",
    "kind": "arxiv",
    "version": 2
  }
}