Pith Number

pith:TC3MWO3P

pith:2018:TC3MWO3POQMCFUUGZYQ35H2EBA

not attested not anchored not stored refs pending

Rooted tree maps and the Kawashima relations for multiple zeta values

Henrik Bachmann, Tatsushi Tanaka

arxiv:1801.05381 v1 · 2018-01-16 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TC3MWO3POQMCFUUGZYQ35H2EBA}

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	2026-05-18T00:25:46.924464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98b6cb3b6f741822d286ce21be9f44081de0f740bf8f93ac91702cb625c4d1df

Aliases

arxiv: 1801.05381 · arxiv_version: 1801.05381v1 · doi: 10.48550/arxiv.1801.05381 · pith_short_12: TC3MWO3POQMC · pith_short_16: TC3MWO3POQMCFUUG · pith_short_8: TC3MWO3P

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/TC3MWO3POQMCFUUGZYQ35H2EBA \
  | 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: 98b6cb3b6f741822d286ce21be9f44081de0f740bf8f93ac91702cb625c4d1df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bf7360e2f75e5604dc8c950f850c3e8834a56555f963128ae99d31fcc3feef1",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-01-16T17:34:26Z",
    "title_canon_sha256": "e0af50d544be902f63d9469ea74e313fefca6dc3f38f06f73c7e54f503920056"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.05381",
    "kind": "arxiv",
    "version": 1
  }
}