Pith Number

pith:OQPWWNDU

pith:2012:OQPWWNDUKMRRPRFTQZAB3QL6R5

not attested not anchored not stored refs pending

The monotonicity of f-vectors of random polytopes

Guillaume Moroz (INRIA Nancy - Grand Est / LORIA), Marc Glisse (INRIA Sophia Antipolis / INRIA Saclay - Ile de France), Matthias Reitzner, Olivier Devillers (INRIA Sophia Antipolis / INRIA Saclay - Ile de France), Xavier Goaoc (INRIA Lorraine - LORIA)

arxiv:1211.7020 v1 · 2012-11-29 · cs.CG · 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{OQPWWNDUKMRRPRFTQZAB3QL6R5}

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	2026-05-18T03:39:42.462369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

741f6b3474532317c4b386401dc17e8f7cf2bbb50714f3ebf90e1404ec8bccdf

Aliases

arxiv: 1211.7020 · arxiv_version: 1211.7020v1 · doi: 10.48550/arxiv.1211.7020 · pith_short_12: OQPWWNDUKMRR · pith_short_16: OQPWWNDUKMRRPRFT · pith_short_8: OQPWWNDU

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/OQPWWNDUKMRRPRFTQZAB3QL6R5 \
  | 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: 741f6b3474532317c4b386401dc17e8f7cf2bbb50714f3ebf90e1404ec8bccdf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78d308263be9183ba9a4604aa472a549f2fdd64e0c50276f6c04213bbb342d5f",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2012-11-29T19:02:04Z",
    "title_canon_sha256": "383f91dfc5b33da5096b556022a74b6aa0993539d674689b4466ae7bef04fbde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.7020",
    "kind": "arxiv",
    "version": 1
  }
}