Pith Number

pith:JK67TNOW

pith:2014:JK67TNOWNYEIPCTKHKEOHGTLCY

not attested not anchored not stored refs pending

Some lower bounds on sparse outer approximations of polytopes

Andres Iroume, Marco Molinaro, Santanu S. Dey

arxiv:1412.3765 v1 · 2014-12-11 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JK67TNOWNYEIPCTKHKEOHGTLCY}

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	2026-05-18T02:31:30.395178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4abdf9b5d66e08878a6a3a88e39a6b16150819f48826d6583129d6ff8abc71ec

Aliases

arxiv: 1412.3765 · arxiv_version: 1412.3765v1 · doi: 10.48550/arxiv.1412.3765 · pith_short_12: JK67TNOWNYEI · pith_short_16: JK67TNOWNYEIPCTK · pith_short_8: JK67TNOW

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/JK67TNOWNYEIPCTKHKEOHGTLCY \
  | 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: 4abdf9b5d66e08878a6a3a88e39a6b16150819f48826d6583129d6ff8abc71ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1af5b24443d12fb3883281fca7c30c777f295c51792831904e0093f026279367",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-12-11T19:08:55Z",
    "title_canon_sha256": "d5e5b7b02d90595044d95febd121233e2fe8f77266b9015fe8891fe25b099718"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.3765",
    "kind": "arxiv",
    "version": 1
  }
}