Pith Number

pith:XNQ54ICP

pith:2016:XNQ54ICPBFCTTJCFKVBI4FXKRJ

not attested not anchored not stored refs pending

Harmonic sums and polylogarithms at non-positive multi-indices

G\'erard Duchamp (LIPN), Hoang Ngoc (LIPN), Ngo Quoc (LIPN)

arxiv:1611.09683 v1 · 2016-11-28 · math.CO · 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{XNQ54ICPBFCTTJCFKVBI4FXKRJ}

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	2026-05-18T00:56:13.297084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb61de204f094539a44555428e16ea8a634ad11250d2768219d47cebc55bc39c

Aliases

arxiv: 1611.09683 · arxiv_version: 1611.09683v1 · doi: 10.48550/arxiv.1611.09683 · pith_short_12: XNQ54ICPBFCT · pith_short_16: XNQ54ICPBFCTTJCF · pith_short_8: XNQ54ICP

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/XNQ54ICPBFCTTJCFKVBI4FXKRJ \
  | 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: bb61de204f094539a44555428e16ea8a634ad11250d2768219d47cebc55bc39c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67fc16ac2973d42f7d7715d2fcdf7af3f70e19a54b35e91e0e1140f1acf57849",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-11-28T15:04:28Z",
    "title_canon_sha256": "b7b93e74de2a2346f4e2c90800b9a0c28dda3f2972c6abc57bc996eb5e452795"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.09683",
    "kind": "arxiv",
    "version": 1
  }
}