Pith Number

pith:AETNQEFJ

pith:2013:AETNQEFJNMWGMTEPOPK6FU4L6T

not attested not anchored not stored refs pending

Symmetry and short interval mean-squares

Giovanni Coppola, Maurizio Laporta

arxiv:1312.5701 v3 · 2013-12-18 · 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{AETNQEFJNMWGMTEPOPK6FU4L6T}

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	2026-05-17T23:56:30.581914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0126d810a96b2c664c8f73d5e2d38bf4ca032e6238567568aa97753ed3292988

Aliases

arxiv: 1312.5701 · arxiv_version: 1312.5701v3 · doi: 10.48550/arxiv.1312.5701 · pith_short_12: AETNQEFJNMWG · pith_short_16: AETNQEFJNMWGMTEP · pith_short_8: AETNQEFJ

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/AETNQEFJNMWGMTEPOPK6FU4L6T \
  | 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: 0126d810a96b2c664c8f73d5e2d38bf4ca032e6238567568aa97753ed3292988

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "575590c64c11ad0565bb25b80e48d37eab1907bba609c83cde9470454e57bec2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-12-18T10:09:49Z",
    "title_canon_sha256": "4dde32f106ef4680cd8fe6ee35a12ef5a36e8f424277d398f32ffcd15a686b7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5701",
    "kind": "arxiv",
    "version": 3
  }
}