Pith Number

pith:RQKX6UZV

pith:2007:RQKX6UZVEFBYT6LVNCW74BS7N5

not attested not anchored not stored refs pending

Double Shuffle Relations of Euler Sums

Jianqiang Zhao

arxiv:0705.2267 v5 · 2007-05-16 · 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{RQKX6UZVEFBYT6LVNCW74BS7N5}

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	2026-05-18T04:42:14.783424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c157f5335214389f97568adfe065f6f7e08da70886f0e6b6e016748db2e3c72

Aliases

arxiv: 0705.2267 · arxiv_version: 0705.2267v5 · doi: 10.48550/arxiv.0705.2267 · pith_short_12: RQKX6UZVEFBY · pith_short_16: RQKX6UZVEFBYT6LV · pith_short_8: RQKX6UZV

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/RQKX6UZVEFBYT6LVNCW74BS7N5 \
  | 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: 8c157f5335214389f97568adfe065f6f7e08da70886f0e6b6e016748db2e3c72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e88b0c79a15ef35f8f3515bc35cb1667b1e2258a112cdbe72dd407ae7af75433",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2007-05-16T01:52:09Z",
    "title_canon_sha256": "15567acdb72d58411f85b9e4e68c399f297b77e0f041671fdc3037eeceea3a53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.2267",
    "kind": "arxiv",
    "version": 5
  }
}