Pith Number

pith:GKGG3U5K

pith:2018:GKGG3U5K6ODC3L2PXAXPBQPBOP

not attested not anchored not stored refs pending

ON a certain class of norms in semimodular spaces and their monotonicity properties

Grzegorz Lewicki, Maciej Ciesielski

arxiv:1803.00517 v1 · 2018-03-01 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GKGG3U5K6ODC3L2PXAXPBQPBOP}

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	2026-05-18T00:22:11.535299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

328c6dd3aaf3862daf4fb82ef0c1e173fee428873f2d4d72c0219cc8d5a7fbba

Aliases

arxiv: 1803.00517 · arxiv_version: 1803.00517v1 · doi: 10.48550/arxiv.1803.00517 · pith_short_12: GKGG3U5K6ODC · pith_short_16: GKGG3U5K6ODC3L2P · pith_short_8: GKGG3U5K

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/GKGG3U5K6ODC3L2PXAXPBQPBOP \
  | 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: 328c6dd3aaf3862daf4fb82ef0c1e173fee428873f2d4d72c0219cc8d5a7fbba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67943b111da3d5f4d517a5a3e60fb114a45d487647c62d2b784eebf8dd271309",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-03-01T17:26:26Z",
    "title_canon_sha256": "30799a67b71968146b59c8f7349ba5395c17cd99031dcb368bf7156bea10f956"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.00517",
    "kind": "arxiv",
    "version": 1
  }
}