Pith Number

pith:A6XTCGAW

pith:2026:A6XTCGAW5OT6EYFB5WA6KRRDCN

not attested not anchored not stored refs pending

The devil in the (de)tails: an improved recovery guarantee for sparse approximation

Avi Gupta, Ben Adcock, Simone Brugiapaglia

arxiv:2606.26459 v1 · 2026-06-24 · math.NA · cs.IT · cs.NA · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A6XTCGAW5OT6EYFB5WA6KRRDCN}

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	2026-06-26T00:15:41.862030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07af311816eba7e260a1ed81e5462313597d2a9ce4232ad7b71e062f25af6f57

Aliases

arxiv: 2606.26459 · arxiv_version: 2606.26459v1 · doi: 10.48550/arxiv.2606.26459 · pith_short_12: A6XTCGAW5OT6 · pith_short_16: A6XTCGAW5OT6EYFB · pith_short_8: A6XTCGAW

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/A6XTCGAW5OT6EYFB5WA6KRRDCN \
  | 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: 07af311816eba7e260a1ed81e5462313597d2a9ce4232ad7b71e062f25af6f57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ff1e76365a51ffbcb6fa428121403c9e331be79bfcbe868d393037e6bed08bd",
    "cross_cats_sorted": [
      "cs.IT",
      "cs.NA",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-06-24T23:39:34Z",
    "title_canon_sha256": "8f08dd8bd6aec9a90a21c954f73cd4a48753a36559756d7e1a2e2d3af3952aa9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.26459",
    "kind": "arxiv",
    "version": 1
  }
}