Pith Number

pith:MHHVAWQ7

pith:2012:MHHVAWQ7PQBWABP3UQKY4BFIXP

not attested not anchored not stored refs pending

On some mean square estimates for the zeta-function in short intervals

Aleksandar Ivi\'c

arxiv:1212.0660 v2 · 2012-12-04 · 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{MHHVAWQ7PQBWABP3UQKY4BFIXP}

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	2026-05-18T03:09:50.672079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61cf505a1f7c036005fba4158e04a8bbc194da43d337d5ff94da463dbb5195e3

Aliases

arxiv: 1212.0660 · arxiv_version: 1212.0660v2 · doi: 10.48550/arxiv.1212.0660 · pith_short_12: MHHVAWQ7PQBW · pith_short_16: MHHVAWQ7PQBWABP3 · pith_short_8: MHHVAWQ7

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/MHHVAWQ7PQBWABP3UQKY4BFIXP \
  | 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: 61cf505a1f7c036005fba4158e04a8bbc194da43d337d5ff94da463dbb5195e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b90f32b24824dcf9220bcdc52bea2b6e60ad900018768c1fa05ef0ab0c8f6ee8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-12-04T10:05:19Z",
    "title_canon_sha256": "99e04dc769a9ec65e211f94dd4989e74e529c4318bb83943f98302a48c5dd6ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0660",
    "kind": "arxiv",
    "version": 2
  }
}