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Pith Number

pith:72ESB76Z

pith:2015:72ESB76ZDHPVANWXDHUM5IX3FI
not attested not anchored not stored refs pending

Strong Successive Refinability and Rate-Distortion-Complexity Tradeoff

Albert No, Amir Ingber, Tsachy Weissman

arxiv:1506.03407 v2 · 2015-06-10 · cs.IT · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{72ESB76ZDHPVANWXDHUM5IX3FI}

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 2026-05-18T01:19:06.053265Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

fe8920ffd919df5036d719e8cea2fb2a3c29dc6bfbcea22997ca9e100b5a9737

Aliases

arxiv: 1506.03407 · arxiv_version: 1506.03407v2 · doi: 10.48550/arxiv.1506.03407 · pith_short_12: 72ESB76ZDHPV · pith_short_16: 72ESB76ZDHPVANWX · pith_short_8: 72ESB76Z
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/72ESB76ZDHPVANWXDHUM5IX3FI \
  | 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: fe8920ffd919df5036d719e8cea2fb2a3c29dc6bfbcea22997ca9e100b5a9737
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8d2d2bd5dff505d769e274cd990959986fd641e0ee7f6dcc7e5695f1fe5769cc",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-06-10T17:41:54Z",
    "title_canon_sha256": "c9bf82d6012c9fdf8789f7f198e0f81fa42016b790e9b0fd9afee1b384890d29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03407",
    "kind": "arxiv",
    "version": 2
  }
}