Pith Number

pith:2R3YEF5F

pith:2013:2R3YEF5FHI2XWKYWI27KKEMMJW

not attested not anchored not stored refs pending

On some mean value results for the zeta-function in short intervals

Aleksandar Ivi\'c

arxiv:1305.2028 v1 · 2013-05-09 · 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{2R3YEF5FHI2XWKYWI27KKEMMJW}

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	2026-05-18T03:26:09.522557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4778217a53a357b2b1646bea5118c4d92289f7602696b48be931af2b9052954

Aliases

arxiv: 1305.2028 · arxiv_version: 1305.2028v1 · doi: 10.48550/arxiv.1305.2028 · pith_short_12: 2R3YEF5FHI2X · pith_short_16: 2R3YEF5FHI2XWKYW · pith_short_8: 2R3YEF5F

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/2R3YEF5FHI2XWKYWI27KKEMMJW \
  | 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: d4778217a53a357b2b1646bea5118c4d92289f7602696b48be931af2b9052954

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2852911f3b9fc1f6e25ba4ba1ac296ad6ab4440213319324705ce7734eacf9b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-05-09T08:20:22Z",
    "title_canon_sha256": "19b7e0df7cf99fd907ac3364aa5bf3111931c85bfbdf2906b54b9c8f0bd23ccd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2028",
    "kind": "arxiv",
    "version": 1
  }
}