Pith Number

pith:LS2MLJPF

pith:2016:LS2MLJPFNAMPA6Q7PL7CG7KZ6O

not attested not anchored not stored refs pending

Double shuffle relations for q-analogues of multiple zeta values, their derivatives and the connection to multiple Eisenstein series

Henrik Bachmann

arxiv:1609.09182 v1 · 2016-09-29 · 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{LS2MLJPFNAMPA6Q7PL7CG7KZ6O}

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	2026-05-18T01:03:38.558091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cb4c5a5e56818f07a1f7afe237d59f385f9a2d23e60881f3e4f283f46c5c187

Aliases

arxiv: 1609.09182 · arxiv_version: 1609.09182v1 · doi: 10.48550/arxiv.1609.09182 · pith_short_12: LS2MLJPFNAMP · pith_short_16: LS2MLJPFNAMPA6Q7 · pith_short_8: LS2MLJPF

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/LS2MLJPFNAMPA6Q7PL7CG7KZ6O \
  | 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: 5cb4c5a5e56818f07a1f7afe237d59f385f9a2d23e60881f3e4f283f46c5c187

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8535892d30911e32b17d7c80d3732bb6e1af0d7a5ed15206d3d031bf87af02f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-09-29T02:52:54Z",
    "title_canon_sha256": "d1c78b35a8b9906e7d9c83935502ece6ea310cff011ffcc15eca24b598987bb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09182",
    "kind": "arxiv",
    "version": 1
  }
}