Pith Number

pith:JAV2SPKU

pith:2013:JAV2SPKUCPVNGNH4MLNSKN7K6T

not attested not anchored not stored refs pending

On the Topology induced by Probabilistic Modular spaces

K. Fallahi, K. Nourouzi

arxiv:1305.3186 v1 · 2013-05-14 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JAV2SPKUCPVNGNH4MLNSKN7K6T}

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	2026-05-18T03:25:44.556339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

482ba93d5413ead334fc62db2537eaf4eb660ab1a440c1591d709d61c4049a9f

Aliases

arxiv: 1305.3186 · arxiv_version: 1305.3186v1 · doi: 10.48550/arxiv.1305.3186 · pith_short_12: JAV2SPKUCPVN · pith_short_16: JAV2SPKUCPVNGNH4 · pith_short_8: JAV2SPKU

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/JAV2SPKUCPVNGNH4MLNSKN7K6T \
  | 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: 482ba93d5413ead334fc62db2537eaf4eb660ab1a440c1591d709d61c4049a9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfd509409de03b5141c2345cff6be534e62281ab07c3621b0a3908f45f536cf4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-05-14T15:53:02Z",
    "title_canon_sha256": "5f95bde396c3335962538945f832745d5bcf56c6b07b186fda286c16770ffbd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.3186",
    "kind": "arxiv",
    "version": 1
  }
}