Pith Number

pith:6UYDWITD

pith:2016:6UYDWITDQMIZQ35H3I3S6337VC

not attested not anchored not stored refs pending

Entropy of a semigroup of maps from a set-valued view

Bingzhe Hou, Xu Wang

arxiv:1601.03294 v1 · 2016-01-13 · 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{6UYDWITDQMIZQ35H3I3S6337VC}

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	2026-05-18T01:22:54.879124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5303b22638311986fa7da372f6f7fa8a289b4686713520afb468a27ff1df06f

Aliases

arxiv: 1601.03294 · arxiv_version: 1601.03294v1 · doi: 10.48550/arxiv.1601.03294 · pith_short_12: 6UYDWITDQMIZ · pith_short_16: 6UYDWITDQMIZQ35H · pith_short_8: 6UYDWITD

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/6UYDWITDQMIZQ35H3I3S6337VC \
  | 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: f5303b22638311986fa7da372f6f7fa8a289b4686713520afb468a27ff1df06f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de1f901054cc9cbdd6842a45bbfa21c0f1ea9d23f3bc6f0212dff49cfd381271",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-01-13T16:02:09Z",
    "title_canon_sha256": "4db47423f3ab97e1d343b3b853dc52b4e8ffff4ec496a62c4abb3bf443e5f87a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.03294",
    "kind": "arxiv",
    "version": 1
  }
}