Pith Number

pith:PF27RCYU

pith:2013:PF27RCYU7JZPI2EIJHYTPAEN4W

not attested not anchored not stored refs pending

Approximate cone factorizations and lifts of polytopes

Jo\~ao Gouveia, Pablo A. Parrilo, Rekha R. Thomas

arxiv:1308.2162 v2 · 2013-08-09 · 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{PF27RCYU7JZPI2EIJHYTPAEN4W}

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	2026-05-18T01:34:05.757293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7975f88b14fa72f4688849f137808de59d60e43f84b7187766d1143d081e75e9

Aliases

arxiv: 1308.2162 · arxiv_version: 1308.2162v2 · doi: 10.48550/arxiv.1308.2162 · pith_short_12: PF27RCYU7JZP · pith_short_16: PF27RCYU7JZPI2EI · pith_short_8: PF27RCYU

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/PF27RCYU7JZPI2EIJHYTPAEN4W \
  | 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: 7975f88b14fa72f4688849f137808de59d60e43f84b7187766d1143d081e75e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebc28fbb985b067cbbd4827897bfe09fbb8745faa2d512f4382019c62e006737",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-08-09T15:36:22Z",
    "title_canon_sha256": "7bedff37b151eae3be73804afa65d2b4d72820c34f2037629141891cf8ea047d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2162",
    "kind": "arxiv",
    "version": 2
  }
}