Pith Number

pith:G5USCV5A

pith:2017:G5USCV5AIVZ2XOALUJJZJONUJ4

not attested not anchored not stored refs pending

Rooted tree maps and the derivation relation for multiple zeta values

Henrik Bachmann, Tatsushi Tanaka

arxiv:1712.01601 v1 · 2017-12-05 · 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{G5USCV5AIVZ2XOALUJJZJONUJ4}

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	2026-05-18T00:28:48.244419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37692157a04573abb80ba25394b9b44f1ca24f0b13787491d79f3ba323f47b3d

Aliases

arxiv: 1712.01601 · arxiv_version: 1712.01601v1 · doi: 10.48550/arxiv.1712.01601 · pith_short_12: G5USCV5AIVZ2 · pith_short_16: G5USCV5AIVZ2XOAL · pith_short_8: G5USCV5A

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/G5USCV5AIVZ2XOALUJJZJONUJ4 \
  | 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: 37692157a04573abb80ba25394b9b44f1ca24f0b13787491d79f3ba323f47b3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9706fec0d5c113f68ac3b65c5fd9f9ec43fa13bb8fbed8daad5e0b2fd827bf2",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-12-05T12:31:44Z",
    "title_canon_sha256": "e7d85cd556f1422fa01ec1cd3f5e339e6116ad85df916393df3f11eae18c5210"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.01601",
    "kind": "arxiv",
    "version": 1
  }
}