Pith Number

pith:677EEPTW

pith:2018:677EEPTWLBYBDK75VIWUXZGYOO

not attested not anchored not stored refs pending

A combinatorial proof of the weighted sum formula for finite and symmetric multiple zeta(-star) values

Hideki Murahara

arxiv:1808.01430 v4 · 2018-08-04 · 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{677EEPTWLBYBDK75VIWUXZGYOO}

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	2026-05-17T23:41:58.258932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7fe423e76587011abfdaa2d4be4d873b526a123b6410e5fc4805d68b456444a

Aliases

arxiv: 1808.01430 · arxiv_version: 1808.01430v4 · doi: 10.48550/arxiv.1808.01430 · pith_short_12: 677EEPTWLBYB · pith_short_16: 677EEPTWLBYBDK75 · pith_short_8: 677EEPTW

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/677EEPTWLBYBDK75VIWUXZGYOO \
  | 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: f7fe423e76587011abfdaa2d4be4d873b526a123b6410e5fc4805d68b456444a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8b45c1b624811cf3d3bf50e4cd6a7264929a1a4819a40d053e9355d12081cab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-08-04T05:41:25Z",
    "title_canon_sha256": "3d3966864e67966277d38ee5bd891e2a407aaad263aee0491055f9593f673da9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.01430",
    "kind": "arxiv",
    "version": 4
  }
}