Pith Number

pith:5LRNFQPW

pith:2015:5LRNFQPWDSEWJ3PDKCD7TSKXYC

not attested not anchored not stored refs pending

Character analogues of certain Hardy-Berndt sums

M\"um\"un Can, Veli Kurt

arxiv:1506.01867 v1 · 2015-06-05 · 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{5LRNFQPWDSEWJ3PDKCD7TSKXYC}

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	2026-05-18T01:09:46.718626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eae2d2c1f61c8964ede35087f9c957c080f0cf7dc997ee87c1b87c4f2764f80a

Aliases

arxiv: 1506.01867 · arxiv_version: 1506.01867v1 · doi: 10.48550/arxiv.1506.01867 · pith_short_12: 5LRNFQPWDSEW · pith_short_16: 5LRNFQPWDSEWJ3PD · pith_short_8: 5LRNFQPW

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/5LRNFQPWDSEWJ3PDKCD7TSKXYC \
  | 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: eae2d2c1f61c8964ede35087f9c957c080f0cf7dc997ee87c1b87c4f2764f80a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "040f4837f298c98caf30d0da52f3b663b1c438fc672cdbe15f961590e4b55b43",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-06-05T11:18:16Z",
    "title_canon_sha256": "256780938bce136378a38e11e03c34dbd681f80c54ae92856215371d9fb468cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.01867",
    "kind": "arxiv",
    "version": 1
  }
}