Pith Number

pith:ZF37FYEL

pith:2015:ZF37FYELRJRYGKS4BIGDP54HBJ

not attested not anchored not stored refs pending

On a cubic moment of Hardy's function with a shift

Aleksandar Ivi\'c

arxiv:1511.07140 v1 · 2015-11-23 · 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{ZF37FYELRJRYGKS4BIGDP54HBJ}

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	2026-05-18T00:27:22.492111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c977f2e08b8a63832a5c0a0c37f7870a6a520c3afa6507e244bc24bd932edb34

Aliases

arxiv: 1511.07140 · arxiv_version: 1511.07140v1 · doi: 10.48550/arxiv.1511.07140 · pith_short_12: ZF37FYELRJRY · pith_short_16: ZF37FYELRJRYGKS4 · pith_short_8: ZF37FYEL

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/ZF37FYELRJRYGKS4BIGDP54HBJ \
  | 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: c977f2e08b8a63832a5c0a0c37f7870a6a520c3afa6507e244bc24bd932edb34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed12035208ff2989b6292f5faccfedd789d6a32bb1449e57ac2b25bd5d1dd2de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-11-23T09:04:47Z",
    "title_canon_sha256": "a64b1be1a58a3c5789ce8255aaff1b3fc25a49b57bb9e63bb9b96402e2c834ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07140",
    "kind": "arxiv",
    "version": 1
  }
}