Pith Number

pith:OZYXLAVK

pith:2016:OZYXLAVK7JHCDGF3W7SJLDBVY2

not attested not anchored not stored refs pending

Fourier transforms of polytopes, solid angle sums, and discrete volume

Quang-Nhat Le, Ricardo Diaz, Sinai Robins

arxiv:1602.08593 v2 · 2016-02-27 · math.CO · 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{OZYXLAVK7JHCDGF3W7SJLDBVY2}

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	2026-05-18T00:09:10.420065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76717582aafa4e2198bbb7e4958c35c6a833b95bdd46b7850052b51ea809a7b6

Aliases

arxiv: 1602.08593 · arxiv_version: 1602.08593v2 · doi: 10.48550/arxiv.1602.08593 · pith_short_12: OZYXLAVK7JHC · pith_short_16: OZYXLAVK7JHCDGF3 · pith_short_8: OZYXLAVK

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/OZYXLAVK7JHCDGF3W7SJLDBVY2 \
  | 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: 76717582aafa4e2198bbb7e4958c35c6a833b95bdd46b7850052b51ea809a7b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7ea9737fb8bcf69498654d8ec227cff5a65d0fe5a327278063c273d277d4eb1",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-27T14:11:33Z",
    "title_canon_sha256": "021d09b958f91e682023037a433f03e45183a379110db2b40e16d110da497a92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.08593",
    "kind": "arxiv",
    "version": 2
  }
}