Pith Number

pith:YZGRGEJF

pith:2009:YZGRGEJFS2MQHHHO6ZQKXQNBYG

not attested not anchored not stored refs pending

Symmetry Matters for Sizes of Extended Formulations

Dirk Oliver Theis, Kanstantsin Pashkovich, Volker Kaibel

arxiv:0911.3712 v3 · 2009-11-19 · math.CO · 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{YZGRGEJFS2MQHHHO6ZQKXQNBYG}

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	2026-05-18T02:10:46.106018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c64d1311259699039ceef660abc1a1c1a2697ff0dec6bc5590c68de5affc6d70

Aliases

arxiv: 0911.3712 · arxiv_version: 0911.3712v3 · doi: 10.48550/arxiv.0911.3712 · pith_short_12: YZGRGEJFS2MQ · pith_short_16: YZGRGEJFS2MQHHHO · pith_short_8: YZGRGEJF

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/YZGRGEJFS2MQHHHO6ZQKXQNBYG \
  | 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: c64d1311259699039ceef660abc1a1c1a2697ff0dec6bc5590c68de5affc6d70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e6bed1c2d960fec2af6f248afe696adf5469fade040c76242fa6bb56e07d8cb",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-11-19T07:11:43Z",
    "title_canon_sha256": "f0432ceaface8f79cdc2eeff1080de239c051b1e0505518082d44ef71d158f8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.3712",
    "kind": "arxiv",
    "version": 3
  }
}