Pith Number

pith:RYR5FFYV

pith:2016:RYR5FFYVGZRRA3SZ22LLSTHJ5Q

not attested not anchored not stored refs pending

Lamda*-Closed sets and new separation axioms in Alexandroff spaces

Amar Kumar Banerjee, Jagannath Pal

arxiv:1609.05150 v1 · 2016-09-16 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RYR5FFYVGZRRA3SZ22LLSTHJ5Q}

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	2026-05-18T01:04:31.343513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e23d297153663106e59d696b94ce9ec24113f0aaf229b0d4d6d1a5a9f4e7a93

Aliases

arxiv: 1609.05150 · arxiv_version: 1609.05150v1 · doi: 10.48550/arxiv.1609.05150 · pith_short_12: RYR5FFYVGZRR · pith_short_16: RYR5FFYVGZRRA3SZ · pith_short_8: RYR5FFYV

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/RYR5FFYVGZRRA3SZ22LLSTHJ5Q \
  | 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: 8e23d297153663106e59d696b94ce9ec24113f0aaf229b0d4d6d1a5a9f4e7a93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e6cc9bdffdfaf2587a9ac11b9799212257b9b5b4988e49c8b5db959efde0cd1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2016-09-16T17:39:54Z",
    "title_canon_sha256": "be9e0fb2d684b21235810b5fe090415ba85dffeed0bd291ee0ffae0dc0715576"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05150",
    "kind": "arxiv",
    "version": 1
  }
}