Pith Number

pith:IX2ZBV2R

pith:2015:IX2ZBV2RRQV52OFRIFCFLR3DZI

not attested not anchored not stored refs pending

Finite Multiple zeta Values and Finite Euler Sums

Jianqiang Zhao

arxiv:1507.04917 v4 · 2015-07-17 · 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{IX2ZBV2RRQV52OFRIFCFLR3DZI}

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	2026-05-18T01:25:55.117422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45f590d7518c2bdd38b1414455c763ca394dc39e8944d0c04a72dc3797483329

Aliases

arxiv: 1507.04917 · arxiv_version: 1507.04917v4 · doi: 10.48550/arxiv.1507.04917 · pith_short_12: IX2ZBV2RRQV5 · pith_short_16: IX2ZBV2RRQV52OFR · pith_short_8: IX2ZBV2R

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/IX2ZBV2RRQV52OFRIFCFLR3DZI \
  | 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: 45f590d7518c2bdd38b1414455c763ca394dc39e8944d0c04a72dc3797483329

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd1193539048298996ce41e06539d1e6331b225d9d3c7d1164125498d2fbcbde",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-07-17T10:50:50Z",
    "title_canon_sha256": "df1cc0ac2a678c653c2e7b98f97c4db592f93a93656550efc85d4cc69538f20d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04917",
    "kind": "arxiv",
    "version": 4
  }
}