Pith Number

pith:MGIA3WTF

pith:2015:MGIA3WTFXS3Z26PC4T4VZJQ7Q2

not attested not anchored not stored refs pending

Separation Axioms in Bi-soft Topological Spaces

Muhammad Irfan Ali, Muhammad Shabir, Munazza Naz

arxiv:1509.00866 v1 · 2015-08-29 · 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{MGIA3WTFXS3Z26PC4T4VZJQ7Q2}

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	2026-05-18T01:34:04.947215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61900dda65bcb79d79e2e4f95ca61f868c99b6c5374b5250ad7fa40993b5de32

Aliases

arxiv: 1509.00866 · arxiv_version: 1509.00866v1 · doi: 10.48550/arxiv.1509.00866 · pith_short_12: MGIA3WTFXS3Z · pith_short_16: MGIA3WTFXS3Z26PC · pith_short_8: MGIA3WTF

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/MGIA3WTFXS3Z26PC4T4VZJQ7Q2 \
  | 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: 61900dda65bcb79d79e2e4f95ca61f868c99b6c5374b5250ad7fa40993b5de32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5dfeef4d3a74a5dce5b8795fc0a98dc3a4ba8220d5275233a89b364e7abceb99",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2015-08-29T08:30:04Z",
    "title_canon_sha256": "5a2aac4d3a8129dbd08a271598035638f4d4291efc0a1fc698e29900a33747ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00866",
    "kind": "arxiv",
    "version": 1
  }
}