Pith Number

pith:IPRPJOUC

pith:2015:IPRPJOUCRI3GMZJSP5WL4XCQIX

not attested not anchored not stored refs pending

Duality and (q-)multiple zeta values

Dominique Manchon, Johannes Singer, Kurusch Ebrahimi-Fard

arxiv:1512.00753 v2 · 2015-12-02 · 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{IPRPJOUCRI3GMZJSP5WL4XCQIX}

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	2026-05-18T01:09:06.829666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43e2f4ba828a366665327f6cbe5c5045d003c45157345ca9bac091e2bb1b34d9

Aliases

arxiv: 1512.00753 · arxiv_version: 1512.00753v2 · doi: 10.48550/arxiv.1512.00753 · pith_short_12: IPRPJOUCRI3G · pith_short_16: IPRPJOUCRI3GMZJS · pith_short_8: IPRPJOUC

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/IPRPJOUCRI3GMZJSP5WL4XCQIX \
  | 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: 43e2f4ba828a366665327f6cbe5c5045d003c45157345ca9bac091e2bb1b34d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b33d21583f800679cd6fa8c28a712e39c628a1556608afadd3dc7dbcae280f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-12-02T16:11:29Z",
    "title_canon_sha256": "5fd7c077733465eccbbbcd4fecb23548840a433c5d694de3b4aeeb349170ed34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00753",
    "kind": "arxiv",
    "version": 2
  }
}