Pith Number

pith:57XLK4IQ

pith:2018:57XLK4IQVXGVTCVBXE7MQP6U2L

not attested not anchored not stored refs pending

Special values of finite multiple harmonic q-series at roots of unity

Henrik Bachmann, Koji Tasaka, Yoshihiro Takeyama

arxiv:1807.00411 v1 · 2018-07-01 · 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{57XLK4IQVXGVTCVBXE7MQP6U2L}

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	2026-05-18T00:11:54.960246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efeeb57110adcd598aa1b93ec83fd4d2f243ae8c647531e0b7d47dfb24f8b5ec

Aliases

arxiv: 1807.00411 · arxiv_version: 1807.00411v1 · doi: 10.48550/arxiv.1807.00411 · pith_short_12: 57XLK4IQVXGV · pith_short_16: 57XLK4IQVXGVTCVB · pith_short_8: 57XLK4IQ

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/57XLK4IQVXGVTCVBXE7MQP6U2L \
  | 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: efeeb57110adcd598aa1b93ec83fd4d2f243ae8c647531e0b7d47dfb24f8b5ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73581fecdcffea7fbe7e355cfc0437b8a54f9f3512f2a2ad35e40c061e86c9e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-07-01T22:45:46Z",
    "title_canon_sha256": "2e482b8d958db950900e32a85150df32cde14039fec144cdc98b22b539568ced"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.00411",
    "kind": "arxiv",
    "version": 1
  }
}