Pith Number

pith:EWEMVRWR

pith:2016:EWEMVRWRFNAPVCP7R6TSMGV6FB

not attested not anchored not stored refs pending

Regularized inner products and errors of modularity

Kathrin Bringmann, Nikolaos Diamantis, Stephan Ehlen

arxiv:1603.03056 v2 · 2016-03-09 · 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{EWEMVRWRFNAPVCP7R6TSMGV6FB}

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	2026-05-18T01:04:09.159653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2588cac6d12b40fa89ff8fa7261abe2865104b140f4185053728e1d9187e31cc

Aliases

arxiv: 1603.03056 · arxiv_version: 1603.03056v2 · doi: 10.48550/arxiv.1603.03056 · pith_short_12: EWEMVRWRFNAP · pith_short_16: EWEMVRWRFNAPVCP7 · pith_short_8: EWEMVRWR

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/EWEMVRWRFNAPVCP7R6TSMGV6FB \
  | 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: 2588cac6d12b40fa89ff8fa7261abe2865104b140f4185053728e1d9187e31cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3a4e48f50908db696748463e4cb98147fd455fd09cc74795855d05add1f10ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-03-09T21:02:00Z",
    "title_canon_sha256": "8fb322dbf4a032ae31b5c511f941cc74ed73bbf07314ee5eceb2eb5e1cac913c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.03056",
    "kind": "arxiv",
    "version": 2
  }
}