Pith Number

pith:2E7SD6N5

pith:2016:2E7SD6N5EFUFSA3MZIBDWYBHLM

not attested not anchored not stored refs pending

Moments of Hardy's function over short intervals

Aleksandar Ivi\'c

arxiv:1612.01698 v1 · 2016-12-06 · 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{2E7SD6N5EFUFSA3MZIBDWYBHLM}

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	2026-05-18T00:55:47.807607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d13f21f9bd216859036cca023b60275b39156e3d305b70838c400f0e7dc0701c

Aliases

arxiv: 1612.01698 · arxiv_version: 1612.01698v1 · doi: 10.48550/arxiv.1612.01698 · pith_short_12: 2E7SD6N5EFUF · pith_short_16: 2E7SD6N5EFUFSA3M · pith_short_8: 2E7SD6N5

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/2E7SD6N5EFUFSA3MZIBDWYBHLM \
  | 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: d13f21f9bd216859036cca023b60275b39156e3d305b70838c400f0e7dc0701c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e086091bf98815044a1d014f2a29c12af41372494082335d049591c79d5e573",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-12-06T08:18:34Z",
    "title_canon_sha256": "cbd6282149008b545cc01bca7ec849610a591d166732fa2f41bcb429d4b93736"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01698",
    "kind": "arxiv",
    "version": 1
  }
}