Pith Number

pith:X5OVCQ4J

pith:2015:X5OVCQ4JSE7S7QSKC7IP7EIXC2

not attested not anchored not stored refs pending

Uncovering functional relationships at zeros with special reference to Riemann's Zeta Function

Michael Milgram, M. L. Glasser

arxiv:1505.06515 v1 · 2015-05-18 · math.CA · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X5OVCQ4JSE7S7QSKC7IP7EIXC2}

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	2026-05-18T00:02:46.088306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf5d514389913f2fc24a17d0ff911716becc6cef9873e530b5176086bd391b4f

Aliases

arxiv: 1505.06515 · arxiv_version: 1505.06515v1 · doi: 10.48550/arxiv.1505.06515 · pith_short_12: X5OVCQ4JSE7S · pith_short_16: X5OVCQ4JSE7S7QSK · pith_short_8: X5OVCQ4J

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/X5OVCQ4JSE7S7QSKC7IP7EIXC2 \
  | 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: bf5d514389913f2fc24a17d0ff911716becc6cef9873e530b5176086bd391b4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77faf8452e44330a32f7f384e323ea334b4b352466d15e5da53c6beab725986d",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-05-18T15:22:09Z",
    "title_canon_sha256": "801cde28d135d223aa2f373d4bd6efa5450a0ab8619e6715d9f0b5cb4ba2a04e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.06515",
    "kind": "arxiv",
    "version": 1
  }
}