Pith Number

pith:5CWEL6UF

pith:2011:5CWEL6UFA4MI47UTZAJUJTAMTE

not attested not anchored not stored refs pending

Software for Exact Integration of Polynomials over Polyhedra

Brandon Dutra, Gregory Pinto, Jesus De Loera, Jianqiu Wu, Matthias Koeppe, Stanislav Moreinis

arxiv:1108.0117 v3 · 2011-07-31 · 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{5CWEL6UFA4MI47UTZAJUJTAMTE}

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	2026-05-18T03:03:55.383982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8ac45fa8507188e7e93c81344cc0c993143d673f3ad721e5c814bb774bac340

Aliases

arxiv: 1108.0117 · arxiv_version: 1108.0117v3 · doi: 10.48550/arxiv.1108.0117 · pith_short_12: 5CWEL6UFA4MI · pith_short_16: 5CWEL6UFA4MI47UT · pith_short_8: 5CWEL6UF

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/5CWEL6UFA4MI47UTZAJUJTAMTE \
  | 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: e8ac45fa8507188e7e93c81344cc0c993143d673f3ad721e5c814bb774bac340

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc2dac6233fbca18c11c31b1d2022027e12b5784068a496f897ac624d9c602c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-07-31T00:46:44Z",
    "title_canon_sha256": "5ab6fb73507254491f956514589077b137ebfe5f927829bbf78d7522b731b81d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0117",
    "kind": "arxiv",
    "version": 3
  }
}