pith. sign in
Pith Number

pith:GIJHKU5Z

pith:2015:GIJHKU5ZAPIV4ASZS3VHAHCRN2
not attested not anchored not stored refs pending

Transient Signal Spaces and Decompositions

Anuran Makur, Tarek A. Lahlou

arxiv:1509.05696 v1 · 2015-09-14 · math.OC · cs.IT · cs.NA · cs.SY · math.CA · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{GIJHKU5ZAPIV4ASZS3VHAHCRN2}

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 2026-05-18T01:32:42.591067Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

32127553b903d15e025996ea701c516ebb3bcfe1474c3e5f13d5b8adbd196688

Aliases

arxiv: 1509.05696 · arxiv_version: 1509.05696v1 · doi: 10.48550/arxiv.1509.05696 · pith_short_12: GIJHKU5ZAPIV · pith_short_16: GIJHKU5ZAPIV4ASZ · pith_short_8: GIJHKU5Z
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/GIJHKU5ZAPIV4ASZS3VHAHCRN2 \
  | 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: 32127553b903d15e025996ea701c516ebb3bcfe1474c3e5f13d5b8adbd196688
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "52a3998d9d3f9e77a450f79cb7fb17abb5bbff8bf674492d8268fdcd43d5815c",
    "cross_cats_sorted": [
      "cs.IT",
      "cs.NA",
      "cs.SY",
      "math.CA",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-09-14T18:13:57Z",
    "title_canon_sha256": "1e3094e393e61d962da865e9de7c07ca035c33bb3ccd062803a22b904d96cb11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05696",
    "kind": "arxiv",
    "version": 1
  }
}