Pith Number

pith:CGEUK5ZD

pith:2019:CGEUK5ZDQVNF3JL5PPIFBGGKRN

not attested not anchored not stored refs pending

Sierpinski Gasket as a Final Coalgebra Obtained by Cauchy Completing the Initial Algebra

Annanthakrishna Manokaran, Jayampathy Ratnayake, Romaine Jayewardene

arxiv:1907.09933 v1 · 2019-07-19 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CGEUK5ZDQVNF3JL5PPIFBGGKRN}

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	2026-05-17T23:39:49.662855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1189457723855a5da57d7bd05098ca8b43f24e5733601e5d69244959b04929c5

Aliases

arxiv: 1907.09933 · arxiv_version: 1907.09933v1 · doi: 10.48550/arxiv.1907.09933 · pith_short_12: CGEUK5ZDQVNF · pith_short_16: CGEUK5ZDQVNF3JL5 · pith_short_8: CGEUK5ZD

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/CGEUK5ZDQVNF3JL5PPIFBGGKRN \
  | 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: 1189457723855a5da57d7bd05098ca8b43f24e5733601e5d69244959b04929c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "644ff15e82bef0401796d0aeef4ce4af86cb608437de234b997b30e62ee9beac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2019-07-19T20:44:06Z",
    "title_canon_sha256": "2e094c3f80b4b6be7b8a77078db7cb929d6c83e5612adb775f3f950c35ac1875"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.09933",
    "kind": "arxiv",
    "version": 1
  }
}