Pith Number

pith:FPCN5BXJ

pith:2012:FPCN5BXJQG55UKKS4BUJBYTKWO

not attested not anchored not stored refs pending

Combinatorics of lower order terms in the moment conjectures for the Riemann zeta function

Paul-Olivier Dehaye

arxiv:1201.4478 v2 · 2012-01-21 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FPCN5BXJQG55UKKS4BUJBYTKWO}

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	2026-05-18T03:57:14.015328Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bc4de86e981bbda2952e06890e26ab3a60b2686706bfb9bad8370dfa586bb2a

Aliases

arxiv: 1201.4478 · arxiv_version: 1201.4478v2 · doi: 10.48550/arxiv.1201.4478 · pith_short_12: FPCN5BXJQG55 · pith_short_16: FPCN5BXJQG55UKKS · pith_short_8: FPCN5BXJ

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/FPCN5BXJQG55UKKS4BUJBYTKWO \
  | 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: 2bc4de86e981bbda2952e06890e26ab3a60b2686706bfb9bad8370dfa586bb2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3732b411b8d78106fe901619d1df6e3456f6a4ae622ef8fdc4a8bd4187aaa5f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-01-21T14:50:12Z",
    "title_canon_sha256": "38552ca05c3f983dc0f309557a2e9d0272da09b2fc5f27210f7630d3914e031a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4478",
    "kind": "arxiv",
    "version": 2
  }
}