Pith Number

pith:DEYZ4UEP

pith:2012:DEYZ4UEPUDEAQPUX6US2NDPWFY

not attested not anchored not stored refs pending

Uncertainty principles connected with the M\"{o}bius inversion formula

Carlo Sanna, Paul Pollack

arxiv:1211.0189 v1 · 2012-11-01 · 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{DEYZ4UEPUDEAQPUX6US2NDPWFY}

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	2026-05-18T02:39:01.440122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19319e508fa0c8083e97f525a68df62e10158766bb018008bdb05ce8cef41629

Aliases

arxiv: 1211.0189 · arxiv_version: 1211.0189v1 · doi: 10.48550/arxiv.1211.0189 · pith_short_12: DEYZ4UEPUDEA · pith_short_16: DEYZ4UEPUDEAQPUX · pith_short_8: DEYZ4UEP

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/DEYZ4UEPUDEAQPUX6US2NDPWFY \
  | 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: 19319e508fa0c8083e97f525a68df62e10158766bb018008bdb05ce8cef41629

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4c03296d82d6426a9b3a65cd6c10af5c2c8a0f1339fcabf0611c99c95333610",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-11-01T14:16:08Z",
    "title_canon_sha256": "df9ccd76f1a41d4197014f0d4125bcc96887c66c48ab2573f9c2ae195df15db0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0189",
    "kind": "arxiv",
    "version": 1
  }
}