pith. sign in
Pith Number

pith:7OCSD2GZ

pith:2014:7OCSD2GZDU6FQFBJLEMDHZIK3M
not attested not anchored not stored refs pending

Intermediate Sums on Polyhedra II: Bidegree and Poisson Formula

Jes\'us A. De Loera, Matthias K\"oppe, Mich\`ele Vergne, Nicole Berline, Velleda Baldoni

arxiv:1404.0065 v2 · 2014-03-31 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{7OCSD2GZDU6FQFBJLEMDHZIK3M}

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 2026-05-18T01:19:30.879337Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

fb8521e8d91d3c581429591833e50adb3c663c8d7554ad3421fefe422534ac58

Aliases

arxiv: 1404.0065 · arxiv_version: 1404.0065v2 · doi: 10.48550/arxiv.1404.0065 · pith_short_12: 7OCSD2GZDU6F · pith_short_16: 7OCSD2GZDU6FQFBJ · pith_short_8: 7OCSD2GZ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/7OCSD2GZDU6FQFBJLEMDHZIK3M \
  | 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: fb8521e8d91d3c581429591833e50adb3c663c8d7554ad3421fefe422534ac58
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d8f7f092d1c8dd3bcb055ede406c4ade24718e8326e55db1afa15b72fe950f92",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-03-31T23:16:23Z",
    "title_canon_sha256": "1f281ca3c7e63fa759139830e3361c3920c07306ed4e4515cf266bbe84bcbe17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.0065",
    "kind": "arxiv",
    "version": 2
  }
}