Pith Number

pith:LHGOTQ6M

pith:2011:LHGOTQ6MZIJEHZ7GLDQULAOQLF

not attested not anchored not stored refs pending

Transition Mean Values of Shifted Convolution Sums

Ian Petrow

arxiv:1111.7010 v1 · 2011-11-29 · 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{LHGOTQ6MZIJEHZ7GLDQULAOQLF}

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	2026-05-18T00:10:52.549240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59cce9c3ccca1243e7e658e14581d0596152c8be0e0e605ee9fd1aa725e9a27b

Aliases

arxiv: 1111.7010 · arxiv_version: 1111.7010v1 · doi: 10.48550/arxiv.1111.7010 · pith_short_12: LHGOTQ6MZIJE · pith_short_16: LHGOTQ6MZIJEHZ7G · pith_short_8: LHGOTQ6M

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/LHGOTQ6MZIJEHZ7GLDQULAOQLF \
  | 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: 59cce9c3ccca1243e7e658e14581d0596152c8be0e0e605ee9fd1aa725e9a27b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7dad39dddf6a0a5982d042ae1ba2cf6e195737bd16ac970e382792c2ae0f90f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-11-29T22:38:38Z",
    "title_canon_sha256": "e986cb87b1f01efc21e6eae62c65c13af6d808fb4e2df2e166e3ba2b10b06c36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.7010",
    "kind": "arxiv",
    "version": 1
  }
}