Pith Number

pith:MLNYE4ZG

pith:2013:MLNYE4ZGLMHJO4GRMWHHYQY44O

not attested not anchored not stored refs pending

General position of a projection and its image under a free unitary Brownian motion

Nizar Demni, Taoufik Hmidi

arxiv:1302.4844 v2 · 2013-02-20 · math.PR · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MLNYE4ZGLMHJO4GRMWHHYQY44O}

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	2026-05-18T03:28:45.366864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62db8273265b0e9770d1658e7c431ce390b4456d83b0d0440ce363e28f610e9a

Aliases

arxiv: 1302.4844 · arxiv_version: 1302.4844v2 · doi: 10.48550/arxiv.1302.4844 · pith_short_12: MLNYE4ZGLMHJ · pith_short_16: MLNYE4ZGLMHJO4GR · pith_short_8: MLNYE4ZG

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/MLNYE4ZGLMHJO4GRMWHHYQY44O \
  | 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: 62db8273265b0e9770d1658e7c431ce390b4456d83b0d0440ce363e28f610e9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c9ff92281defd434e0dbcbf3d66b2d8b23202186beec9e73372abcfa953db35",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-02-20T09:19:38Z",
    "title_canon_sha256": "01e9bf4a89038d48c629d6a2b94f8ce6ac303f3bab71b53373824a5d03d1d804"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.4844",
    "kind": "arxiv",
    "version": 2
  }
}