Pith Number

pith:A532SBXY

pith:2010:A532SBXYEBDY5G4WNDIXDHTEYK

not attested not anchored not stored refs pending

Geometric interpretation of double shuffle relation for multiple L-values

Hidekazu Furusho

arxiv:1012.4911 v3 · 2010-12-22 · math.AG · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A532SBXYEBDY5G4WNDIXDHTEYK}

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	2026-05-18T03:44:24.726787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0777a906f820478e9b9668d1719e64c292916631b07cecd58787165fade6b748

Aliases

arxiv: 1012.4911 · arxiv_version: 1012.4911v3 · doi: 10.48550/arxiv.1012.4911 · pith_short_12: A532SBXYEBDY · pith_short_16: A532SBXYEBDY5G4W · pith_short_8: A532SBXY

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/A532SBXYEBDY5G4WNDIXDHTEYK \
  | 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: 0777a906f820478e9b9668d1719e64c292916631b07cecd58787165fade6b748

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83a4edfd5fa9df47f15ffe47ebf129fc5f686b2d48e8189cee89091b05f9227a",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-12-22T09:15:26Z",
    "title_canon_sha256": "b8bc504e600ce08938e503baa4bb766187b20c97d720f487de2e3a6b3acbb574"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4911",
    "kind": "arxiv",
    "version": 3
  }
}