Pith Number

pith:DSELXCKB

pith:2013:DSELXCKBZXJU44RCVIEYERGIDE

not attested not anchored not stored refs pending

On an entropy of $Z_+^k$-actions

Wenda Zhang, Yujun Zhu

arxiv:1303.2299 v2 · 2013-03-10 · 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{DSELXCKBZXJU44RCVIEYERGIDE}

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	2026-05-18T03:26:40.790238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c88bb8941cdd34e7222aa098244c81900705525969fa577bb950fc1faedabe8

Aliases

arxiv: 1303.2299 · arxiv_version: 1303.2299v2 · doi: 10.48550/arxiv.1303.2299 · pith_short_12: DSELXCKBZXJU · pith_short_16: DSELXCKBZXJU44RC · pith_short_8: DSELXCKB

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/DSELXCKBZXJU44RCVIEYERGIDE \
  | 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: 1c88bb8941cdd34e7222aa098244c81900705525969fa577bb950fc1faedabe8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bcd1a158c137da5f531fcd435ff0af515e6c78737aaeafbbbcae7288ac94b0a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-03-10T09:35:32Z",
    "title_canon_sha256": "498c91617c3dd08aab4536c32d16a535e7565e4b748730baeb65cbb6be46bc46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2299",
    "kind": "arxiv",
    "version": 2
  }
}