Pith Number

pith:UD3Y5SIS

pith:2009:UD3Y5SIS35BMNAL23B2S7IXTXY

not attested not anchored not stored refs pending

Asymptotic Euler-Maclaurin formula over lattice polytopes

Tatsuya Tate

arxiv:0908.3073 v5 · 2009-08-21 · math.CO · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UD3Y5SIS35BMNAL23B2S7IXTXY}

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	2026-05-18T00:30:49.900363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0f78ec912df42c6817ad8752fa2f3be11bf85ca7ade52fb79e6b02fedcc860b

Aliases

arxiv: 0908.3073 · arxiv_version: 0908.3073v5 · doi: 10.48550/arxiv.0908.3073 · pith_short_12: UD3Y5SIS35BM · pith_short_16: UD3Y5SIS35BMNAL2 · pith_short_8: UD3Y5SIS

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/UD3Y5SIS35BMNAL23B2S7IXTXY \
  | 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: a0f78ec912df42c6817ad8752fa2f3be11bf85ca7ade52fb79e6b02fedcc860b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95ff2411ead1bb80f5258c0a18a2300fc92a9ebba39d8fe21933684cef941d21",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-08-21T08:28:57Z",
    "title_canon_sha256": "f77104ae9913a972a294ee275506c272d82924d69848b5177d88d4e5546d109c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.3073",
    "kind": "arxiv",
    "version": 5
  }
}