Pith Number

pith:UGENT3BO

pith:2014:UGENT3BOH3VRGXRXZPWGEWQOAQ

not attested not anchored not stored refs pending

On additivity of local entropy under flat extensions

Mahdi Majidi-Zolbanin

arxiv:1404.1541 v2 · 2014-04-06 · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UGENT3BOH3VRGXRXZPWGEWQOAQ}

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	2026-05-18T02:43:18.927069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a188d9ec2e3eeb135e37cbec625a0e0405f51cdd4aa81568403acb64fb03b75d

Aliases

arxiv: 1404.1541 · arxiv_version: 1404.1541v2 · doi: 10.48550/arxiv.1404.1541 · pith_short_12: UGENT3BOH3VR · pith_short_16: UGENT3BOH3VRGXRX · pith_short_8: UGENT3BO

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/UGENT3BOH3VRGXRXZPWGEWQOAQ \
  | 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: a188d9ec2e3eeb135e37cbec625a0e0405f51cdd4aa81568403acb64fb03b75d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33961f169dbe91eb505d7c41762bdc235e55f572085f566aed00a7f6d0a17e1f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-04-06T02:35:25Z",
    "title_canon_sha256": "6d6b66223be17c65675f6208f2fba6c8ba92e2c74c7b279887e3536b6d640184"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.1541",
    "kind": "arxiv",
    "version": 2
  }
}