Pith Number

pith:ELP7SSG3

pith:2018:ELP7SSG3WOTM6Z6DV6EDZCNLRZ

not attested not anchored not stored refs pending

Constant term formulas for refined enumerations of Gog and Magog trapezoids

Ilse Fischer

arxiv:1804.07054 v1 · 2018-04-19 · math.CO · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ELP7SSG3WOTM6Z6DV6EDZCNLRZ}

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	2026-05-18T00:18:03.557612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22dff948dbb3a6cf67c3af883c89ab8e4e511e6d67e9e196d1f0239c3c659ba3

Aliases

arxiv: 1804.07054 · arxiv_version: 1804.07054v1 · doi: 10.48550/arxiv.1804.07054 · pith_short_12: ELP7SSG3WOTM · pith_short_16: ELP7SSG3WOTM6Z6D · pith_short_8: ELP7SSG3

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/ELP7SSG3WOTM6Z6DV6EDZCNLRZ \
  | 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: 22dff948dbb3a6cf67c3af883c89ab8e4e511e6d67e9e196d1f0239c3c659ba3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8fe0787faae463f2a11e9a5b33a4a22fa0e5411960be9436558258ceb76209c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-04-19T09:33:17Z",
    "title_canon_sha256": "7961224c210428302f5fa38daa80f028a02e83692b2af47ba5b5b0f64af694d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.07054",
    "kind": "arxiv",
    "version": 1
  }
}