Pith Number

pith:GEFEDAZ3

pith:2009:GEFEDAZ3NWBWYOV4XCZM5FRFAI

not attested not anchored not stored refs pending

Double shuffle relations and renormalization of multiple zeta values

Bingyong Xie, Bin Zhang, Li Guo, Sylvie Paycha

arxiv:0906.0092 v1 · 2009-05-30 · math.NT · math-ph · math.CA · math.MP · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GEFEDAZ3NWBWYOV4XCZM5FRFAI}

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	2026-05-18T02:41:09.386240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

310a41833b6d836c3abcb8b2ce9625021c99dbf817362c0e25d77711bc7d7ccb

Aliases

arxiv: 0906.0092 · arxiv_version: 0906.0092v1 · doi: 10.48550/arxiv.0906.0092 · pith_short_12: GEFEDAZ3NWBW · pith_short_16: GEFEDAZ3NWBWYOV4 · pith_short_8: GEFEDAZ3

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/GEFEDAZ3NWBWYOV4XCZM5FRFAI \
  | 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: 310a41833b6d836c3abcb8b2ce9625021c99dbf817362c0e25d77711bc7d7ccb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0f21545536c81011d990a9fa9c3a42a341f195c926afa884bcf181a369cdb8d",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.MP",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-05-30T16:26:00Z",
    "title_canon_sha256": "f2e5a4c46a8b2b5c760ceab6bb1337e312a0819ff70f1e6ad7ad056faf2e515b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.0092",
    "kind": "arxiv",
    "version": 1
  }
}