Pith Number

pith:LCJMKA4K

pith:2017:LCJMKA4KWHVKJEOSFVLSXED5M3

not attested not anchored not stored refs pending

Fixed points of polarity type operators

Daniel Reem, Simeon Reich

arxiv:1708.09741 v4 · 2017-08-30 · math.FA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LCJMKA4KWHVKJEOSFVLSXED5M3}

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	2026-05-17T23:49:06.219209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5892c5038ab1eaa491d22d572b907d66caa5f2a13597259333e0df67fa0f2509

Aliases

arxiv: 1708.09741 · arxiv_version: 1708.09741v4 · doi: 10.48550/arxiv.1708.09741 · pith_short_12: LCJMKA4KWHVK · pith_short_16: LCJMKA4KWHVKJEOS · pith_short_8: LCJMKA4K

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/LCJMKA4KWHVKJEOSFVLSXED5M3 \
  | 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: 5892c5038ab1eaa491d22d572b907d66caa5f2a13597259333e0df67fa0f2509

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "064bdabb7710e7709cf10b37b4a5bb26d2343411d7f6588afca326c3430100b7",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-08-30T01:54:58Z",
    "title_canon_sha256": "337f185ed66d3d83feb3054463d9fafa830e56cc199b471328fc1041d34732a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.09741",
    "kind": "arxiv",
    "version": 4
  }
}