Pith Number

pith:4GU5HZVH

pith:2016:4GU5HZVHAQDU7D674C5GUK2HK2

not attested not anchored not stored refs pending

Generalizing Moran's Theorem

Juan L.G. Guirao, M.A. S\'anchez-Granero, M. Fern\'andez-Mart\'inez

arxiv:1601.04186 v1 · 2016-01-16 · 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{4GU5HZVHAQDU7D674C5GUK2HK2}

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	2026-05-18T01:22:45.689656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1a9d3e6a704074f8fdfe0ba6a2b47569d309899ddf6d27458ef6d1e6d78c7f1

Aliases

arxiv: 1601.04186 · arxiv_version: 1601.04186v1 · doi: 10.48550/arxiv.1601.04186 · pith_short_12: 4GU5HZVHAQDU · pith_short_16: 4GU5HZVHAQDU7D67 · pith_short_8: 4GU5HZVH

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/4GU5HZVHAQDU7D674C5GUK2HK2 \
  | 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: e1a9d3e6a704074f8fdfe0ba6a2b47569d309899ddf6d27458ef6d1e6d78c7f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7c30d16d8d2cf30844219514d9015628d892164f218bc34547e957e58e44736",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-01-16T17:47:03Z",
    "title_canon_sha256": "1c29b8cc0adad032bb79259e84628dea5b355a821ad3fa85542a7beb2c638fbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04186",
    "kind": "arxiv",
    "version": 1
  }
}