Pith Number

pith:JT3S2PQ4

pith:2017:JT3S2PQ4THHVDXGL2LCQUWQFGM

not attested not anchored not stored refs pending

A Note on Properties of Discrete Composition Operators

Claus Peter Ortlieb, Klaus Glashoff

arxiv:1705.00328 v1 · 2017-04-30 · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JT3S2PQ4THHVDXGL2LCQUWQFGM}

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	2026-05-18T00:45:20.761310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cf72d3e1c99cf51dccbd2c50a5a0533285c14ea648e4764d62c54cbb1533851

Aliases

arxiv: 1705.00328 · arxiv_version: 1705.00328v1 · doi: 10.48550/arxiv.1705.00328 · pith_short_12: JT3S2PQ4THHV · pith_short_16: JT3S2PQ4THHVDXGL · pith_short_8: JT3S2PQ4

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/JT3S2PQ4THHVDXGL2LCQUWQFGM \
  | 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: 4cf72d3e1c99cf51dccbd2c50a5a0533285c14ea648e4764d62c54cbb1533851

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e9f5a7c6d93d7300b27f76a45e6bd15c9e4fff41c8bd58e0288b1608307ed8b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2017-04-30T15:40:32Z",
    "title_canon_sha256": "851866c5c0d920de262d51a15558d112cab55386cd0d8293161acb5256d4a108"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.00328",
    "kind": "arxiv",
    "version": 1
  }
}