Pith Number

pith:BYQILKZJ

pith:2015:BYQILKZJ23JEBNIP4Z226D7HZV

not attested not anchored not stored refs pending

Persistence of Banach lattices under nonlinear order isomorphisms

Denny H. Leung, Wee-Kee Tang

arxiv:1507.02759 v1 · 2015-07-10 · 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{BYQILKZJ23JEBNIP4Z226D7HZV}

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	2026-05-18T01:37:03.260954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e2085ab29d6d240b50fe675af0fe7cd6dbe9e386a3e9d0671e1d85ccfcb1f6e

Aliases

arxiv: 1507.02759 · arxiv_version: 1507.02759v1 · doi: 10.48550/arxiv.1507.02759 · pith_short_12: BYQILKZJ23JE · pith_short_16: BYQILKZJ23JEBNIP · pith_short_8: BYQILKZJ

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/BYQILKZJ23JEBNIP4Z226D7HZV \
  | 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: 0e2085ab29d6d240b50fe675af0fe7cd6dbe9e386a3e9d0671e1d85ccfcb1f6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9189143423facca702d87b853166a006c31086c446366df1088ae6f230cb8298",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-07-10T00:59:36Z",
    "title_canon_sha256": "2f03c117e85c767b65156d2cdddf7803842faddf22b77b878197bc70757b5ae0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02759",
    "kind": "arxiv",
    "version": 1
  }
}