Pith Number

pith:5DPGDN2L

pith:2026:5DPGDN2LNP2A2A2Z543HAJAQEU

not attested not anchored not stored refs pending

Dimensional entropy of amenable group actions over stable sets and fibres

Guohua Zhang, Xinyao He

arxiv:2606.28681 v1 · 2026-06-27 · 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{5DPGDN2LNP2A2A2Z543HAJAQEU}

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	2026-06-30T01:16:47.344097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8de61b74b6bf40d0359ef36702410252c13531448e318ffe5ecd7a45fb49b36

Aliases

arxiv: 2606.28681 · arxiv_version: 2606.28681v1 · doi: 10.48550/arxiv.2606.28681 · pith_short_12: 5DPGDN2LNP2A · pith_short_16: 5DPGDN2LNP2A2A2Z · pith_short_8: 5DPGDN2L

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/5DPGDN2LNP2A2A2Z543HAJAQEU \
  | 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: e8de61b74b6bf40d0359ef36702410252c13531448e318ffe5ecd7a45fb49b36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa19ee362229ccd87f44fe16cf8714ead252fd219465062e4454278468f3da85",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-06-27T01:46:12Z",
    "title_canon_sha256": "28aebc12b27644d19a5ee1b368d888e678de56d5996d965d922bc2a32e1f98a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.28681",
    "kind": "arxiv",
    "version": 1
  }
}