Pith Number

pith:UDJSCPHS

pith:2011:UDJSCPHSQHRNBTEGFXEJA6UOGR

not attested not anchored not stored refs pending

Cones of elementary imsets and supermodular functions: a review and some new results

Akimichi Takemura, Kentaro Tanaka, Takuya Kashimura, Tomonari Sei

arxiv:1109.2408 v1 · 2011-09-12 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UDJSCPHSQHRNBTEGFXEJA6UOGR}

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	2026-05-18T03:36:48.248107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0d3213cf281e2d0cc862dc8907a8e3473a874a55c6c359cb3f77580fe5201f5

Aliases

arxiv: 1109.2408 · arxiv_version: 1109.2408v1 · doi: 10.48550/arxiv.1109.2408 · pith_short_12: UDJSCPHSQHRN · pith_short_16: UDJSCPHSQHRNBTEG · pith_short_8: UDJSCPHS

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/UDJSCPHSQHRNBTEGFXEJA6UOGR \
  | 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: a0d3213cf281e2d0cc862dc8907a8e3473a874a55c6c359cb3f77580fe5201f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6bc2c82132bf714ce70e70313fb8f3b5b52125d95c4b5db7c0c8d04ebaa968a",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2011-09-12T09:15:21Z",
    "title_canon_sha256": "42ce95d7a6ea30b0ab9b6b71a459294719e0f385384ae5f1a315f416666997c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2408",
    "kind": "arxiv",
    "version": 1
  }
}