Pith Number

pith:MFLS5TGV

pith:2014:MFLS5TGVMFMPBJCNCSNR62OFKH

not attested not anchored not stored refs pending

Truncated versions of Dwork's lemma for exponentials of power series and $p$-divisibility of arithmetic functiens

Christian Krattenthaler (Universit\"at Wien), Thomas W. M\"uller (Queen Mary, University of London)

arxiv:1412.7014 v2 · 2014-12-22 · math.GR · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MFLS5TGVMFMPBJCNCSNR62OFKH}

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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	2026-05-18T01:35:32.587027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61572eccd56158f0a44d149b1f69c551c95418455e228d2f38f74ace5650706d

Aliases

arxiv: 1412.7014 · arxiv_version: 1412.7014v2 · doi: 10.48550/arxiv.1412.7014 · pith_short_12: MFLS5TGVMFMP · pith_short_16: MFLS5TGVMFMPBJCN · pith_short_8: MFLS5TGV

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/MFLS5TGVMFMPBJCNCSNR62OFKH \
  | 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: 61572eccd56158f0a44d149b1f69c551c95418455e228d2f38f74ace5650706d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b6321e9002ce2ad36daf5b25841011d52d03cac167076012b0fa0e8ae3e9b6b",
    "cross_cats_sorted": [
      "math.CO",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-12-22T15:07:18Z",
    "title_canon_sha256": "b9966e15a68e530f7767220ba1e4e8a6d15d6055d8c6067b62226d8060543a56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7014",
    "kind": "arxiv",
    "version": 2
  }
}