Pith Number

pith:O4KVFUEI

pith:2005:O4KVFUEIZKPZX5NFBKPBS4MMB3

not attested not anchored not stored refs pending

Regularization and generalized double shuffle relations for p-adic multiple zeta values

Amir Jafari, Hidekazu Furusho

arxiv:math/0510681 v2 · 2005-10-31 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O4KVFUEIZKPZX5NFBKPBS4MMB3}

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	2026-07-04T14:51:15.585105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

771552d088ca9f9bf5a50a9e19718c0eee3dd7c2cff30b8c844975982b19da41

Aliases

arxiv: math/0510681 · arxiv_version: math/0510681v2 · doi: 10.48550/arxiv.math/0510681 · pith_short_12: O4KVFUEIZKPZ · pith_short_16: O4KVFUEIZKPZX5NF · pith_short_8: O4KVFUEI

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/O4KVFUEIZKPZX5NFBKPBS4MMB3 \
  | 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: 771552d088ca9f9bf5a50a9e19718c0eee3dd7c2cff30b8c844975982b19da41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45bbbb992ceddc94318515f7a3cba78c2a2b4e1088f2637a6f573ce1871eb498",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2005-10-31T16:31:11Z",
    "title_canon_sha256": "7c3bef9f643f4b98a32e072bfa93814ee303473e41dae4131b933c3b3e38e712"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0510681",
    "kind": "arxiv",
    "version": 2
  }
}