Pith Number

pith:DCHWMAMB

pith:2017:DCHWMAMBVZ6WD2AJPVPNMI35ZM

not attested not anchored not stored refs pending

Rational approximations to the zeta function

Keith Ball

arxiv:1706.07998 v2 · 2017-06-24 · 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{DCHWMAMBVZ6WD2AJPVPNMI35ZM}

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	2026-05-17T23:42:08.997731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

188f660181ae7d61e8097d5ed6237dcb3ce0a015d8848d928c801c088b94d969

Aliases

arxiv: 1706.07998 · arxiv_version: 1706.07998v2 · doi: 10.48550/arxiv.1706.07998 · pith_short_12: DCHWMAMBVZ6W · pith_short_16: DCHWMAMBVZ6WD2AJ · pith_short_8: DCHWMAMB

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/DCHWMAMBVZ6WD2AJPVPNMI35ZM \
  | 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: 188f660181ae7d61e8097d5ed6237dcb3ce0a015d8848d928c801c088b94d969

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "775501f8971ecfc8b7487e9c31010133680e087bf2f8fd2948a1e1070b8963e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-06-24T20:47:24Z",
    "title_canon_sha256": "7eebb7a77a3a7165102ddfc723e5980786cd85ec49226e5ef6c516f4253c2f4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.07998",
    "kind": "arxiv",
    "version": 2
  }
}