Pith Number

pith:VMW5H3QH

pith:2013:VMW5H3QHTR5TDJLOMSJDOQDOL2

not attested not anchored not stored refs pending

Remarks on the error term in Chebotarev Density Theorem

Jo\"el Bella\"iche

arxiv:1305.5498 v1 · 2013-05-23 · 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{VMW5H3QHTR5TDJLOMSJDOQDOL2}

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	2026-05-18T03:25:04.651011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab2dd3ee079c7b31a56e649237406e5e876f22ba2ed51471aec5295bbb178949

Aliases

arxiv: 1305.5498 · arxiv_version: 1305.5498v1 · doi: 10.48550/arxiv.1305.5498 · pith_short_12: VMW5H3QHTR5T · pith_short_16: VMW5H3QHTR5TDJLO · pith_short_8: VMW5H3QH

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/VMW5H3QHTR5TDJLOMSJDOQDOL2 \
  | 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: ab2dd3ee079c7b31a56e649237406e5e876f22ba2ed51471aec5295bbb178949

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1e5cbafd3a24745004cffe7cf67ab19103501928fd06d456876ee40312e94ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-05-23T17:51:40Z",
    "title_canon_sha256": "c62c42fb7381f6d9cfc48f67216ae85b5f1d13cd740e692f580c0dce818701aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5498",
    "kind": "arxiv",
    "version": 1
  }
}