Pith Number

pith:ASYAO2HI

pith:2016:ASYAO2HI3PW2I3N7BS7NIGM63H

not attested not anchored not stored refs pending

Approximating Nonnegative Polynomials via Spectral Sparsification

Alperen A. Erg\"ur

arxiv:1612.06245 v5 · 2016-12-19 · math.OC · math.AG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ASYAO2HI3PW2I3N7BS7NIGM63H}

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	2026-05-17T23:50:28.940812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04b00768e8dbeda46dbf0cbed4199ed9f478000fe7455bb8fd053fc0b6622ca0

Aliases

arxiv: 1612.06245 · arxiv_version: 1612.06245v5 · doi: 10.48550/arxiv.1612.06245 · pith_short_12: ASYAO2HI3PW2 · pith_short_16: ASYAO2HI3PW2I3N7 · pith_short_8: ASYAO2HI

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/ASYAO2HI3PW2I3N7BS7NIGM63H \
  | 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: 04b00768e8dbeda46dbf0cbed4199ed9f478000fe7455bb8fd053fc0b6622ca0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eee325f0f260579682c5cbbc92375428beb5421aee62f6d15340b3539c576f70",
    "cross_cats_sorted": [
      "math.AG",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-12-19T16:14:19Z",
    "title_canon_sha256": "c12480ccc13f7e2c7e3db3ed72e011688252b7e58cf50752646841b15df94a8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06245",
    "kind": "arxiv",
    "version": 5
  }
}