Pith Number

pith:MC5W2E5W

pith:2009:MC5W2E5WJ3ITFCTFFQDZFPUIII

not attested not anchored not stored refs pending

Alternating Euler sums and special values of Witten multiple zeta function attached to so(5)

Jianqiang Zhao

arxiv:0903.0473 v1 · 2009-03-03 · 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{MC5W2E5WJ3ITFCTFFQDZFPUIII}

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	2026-05-18T03:27:43.337470Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60bb6d13b64ed1328a652c0792be884203410c2a37d5984fb6e5559eb5e8c18d

Aliases

arxiv: 0903.0473 · arxiv_version: 0903.0473v1 · doi: 10.48550/arxiv.0903.0473 · pith_short_12: MC5W2E5WJ3IT · pith_short_16: MC5W2E5WJ3ITFCTF · pith_short_8: MC5W2E5W

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/MC5W2E5WJ3ITFCTFFQDZFPUIII \
  | 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: 60bb6d13b64ed1328a652c0792be884203410c2a37d5984fb6e5559eb5e8c18d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96707749bebb3e70a16eb978aece757f7df7c45ab8ba18a70b140325db238151",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-03-03T10:31:45Z",
    "title_canon_sha256": "79e382e1c39c569fc107ea71a8ac33fb9810922289d09d42fb844547d18eaeb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.0473",
    "kind": "arxiv",
    "version": 1
  }
}