Pith Number

pith:IXANPBME

pith:2007:IXANPBMEH7NXMHENW6UM4SOLLF

not attested not anchored not stored refs pending

Arithmetical properties of Multiple Ramanujan sums

Yoshinori Yamasaki

arxiv:math/0701528 v1 · 2007-01-19 · 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{IXANPBMEH7NXMHENW6UM4SOLLF}

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	2026-05-18T03:39:03.903162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45c0d785843fdb761c8db7a8ce49cb596d6989f21a4e3ef0d89888912c98e17e

Aliases

arxiv: math/0701528 · arxiv_version: math/0701528v1 · doi: 10.48550/arxiv.math/0701528 · pith_short_12: IXANPBMEH7NX · pith_short_16: IXANPBMEH7NXMHEN · pith_short_8: IXANPBME

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/IXANPBMEH7NXMHENW6UM4SOLLF \
  | 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: 45c0d785843fdb761c8db7a8ce49cb596d6989f21a4e3ef0d89888912c98e17e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "418b752d7cfddf51ace21a0f1faa08f89e71df6961d04951627a73b94a77c2bf",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2007-01-19T03:49:21Z",
    "title_canon_sha256": "c4be2e1708a6feaa26a6b20478b0e69e1a316b8a62c514f487cb7d6570277a87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0701528",
    "kind": "arxiv",
    "version": 1
  }
}