Pith Number

pith:2OQ2FV53

pith:2020:2OQ2FV53GRTDOHUWI3URMCYYSU

not attested not anchored not stored refs pending

A modified Euler-Maclaurin formula in 1D and 2D with applications in statistical physics

Jihong Guo, Yunpeng Liu

arxiv:2004.10441 v1 · 2020-04-22 · 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{2OQ2FV53GRTDOHUWI3URMCYYSU}

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	2026-07-05T02:55:06.096797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3a1a2d7bb3466371e9646e9160b1895248aa7f7f0c767acdace323aa90ee771

Aliases

arxiv: 2004.10441 · arxiv_version: 2004.10441v1 · doi: 10.48550/arxiv.2004.10441 · pith_short_12: 2OQ2FV53GRTD · pith_short_16: 2OQ2FV53GRTDOHUW · pith_short_8: 2OQ2FV53

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/2OQ2FV53GRTDOHUWI3URMCYYSU \
  | 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: d3a1a2d7bb3466371e9646e9160b1895248aa7f7f0c767acdace323aa90ee771

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50379314e01214a82c1057576924d432fe9052fd3583a738acf86bbdf0cee8ee",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2020-04-22T08:31:08Z",
    "title_canon_sha256": "2c0e5593d413c4c5653e2928ed76b32b735f31462777675d69f2fdfbe8b7cf31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.10441",
    "kind": "arxiv",
    "version": 1
  }
}