Pith Number

pith:TSXUOGIG

pith:2009:TSXUOGIGLXJ7KNWOIXVGVJP3HU

not attested not anchored not stored refs pending

An Invariance Principle for Polytopes

Adam Klivans, Prahladh Harsha, Raghu Meka

arxiv:0912.4884 v2 · 2009-12-24 · cs.CC · cs.CG · cs.DM · cs.LG · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TSXUOGIGLXJ7KNWOIXVGVJP3HU}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:34:46.665703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9caf4719065dd3f536ce45ea6aa5fb3d0b72e3af5757efcda498c1a1804f4b6b

Aliases

arxiv: 0912.4884 · arxiv_version: 0912.4884v2 · doi: 10.48550/arxiv.0912.4884 · pith_short_12: TSXUOGIGLXJ7 · pith_short_16: TSXUOGIGLXJ7KNWO · pith_short_8: TSXUOGIG

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/TSXUOGIGLXJ7KNWOIXVGVJP3HU \
  | 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: 9caf4719065dd3f536ce45ea6aa5fb3d0b72e3af5757efcda498c1a1804f4b6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc43432392b174d733934d74142bb491564f2b6cf1703ce0a6c7e77c97d275c8",
    "cross_cats_sorted": [
      "cs.CG",
      "cs.DM",
      "cs.LG",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2009-12-24T15:35:56Z",
    "title_canon_sha256": "4717c9800345b1a33c64668be7c83f79304b08aba621d69132cde891fc4a5b64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.4884",
    "kind": "arxiv",
    "version": 2
  }
}