Pith Number

pith:XLOH5SFE

pith:2018:XLOH5SFERJ4VIQRMVFEI676NH6

not attested not anchored not stored refs pending

Alternating sign trapezoids and a constant term approach

Ilse Fischer

arxiv:1804.08681 v1 · 2018-04-23 · 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{XLOH5SFERJ4VIQRMVFEI676NH6}

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	2026-05-18T00:17:46.991300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

badc7ec8a48a7954422ca9488f7fcd3fbeb5e01987c0e52f27c1a32bb81cda61

Aliases

arxiv: 1804.08681 · arxiv_version: 1804.08681v1 · doi: 10.48550/arxiv.1804.08681 · pith_short_12: XLOH5SFERJ4V · pith_short_16: XLOH5SFERJ4VIQRM · pith_short_8: XLOH5SFE

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/XLOH5SFERJ4VIQRMVFEI676NH6 \
  | 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: badc7ec8a48a7954422ca9488f7fcd3fbeb5e01987c0e52f27c1a32bb81cda61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7cf6de7ff9fe3d2183e4f85f47d6273340068a4ff96f7b4d70f78ac097b9bb7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-04-23T19:45:06Z",
    "title_canon_sha256": "e5a042ea7ac4ac05540577e803f151c25ac40e947b4be80cb45be8e59ca311fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.08681",
    "kind": "arxiv",
    "version": 1
  }
}