Pith Number

pith:QK663U62

pith:2016:QK663U62UMHRRO4BWX762BFAHE

not attested not anchored not stored refs pending

Multiple polylogarithms in weight 4

Herbert Gangl

arxiv:1609.05557 v1 · 2016-09-18 · math.NT · math-ph · math.KT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QK663U62UMHRRO4BWX762BFAHE}

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	2026-05-18T01:04:26.073618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82bdedd3daa30f18bb81b5ffed04a039311d5f35fefda0b75646b9f3199d9946

Aliases

arxiv: 1609.05557 · arxiv_version: 1609.05557v1 · doi: 10.48550/arxiv.1609.05557 · pith_short_12: QK663U62UMHR · pith_short_16: QK663U62UMHRRO4B · pith_short_8: QK663U62

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/QK663U62UMHRRO4BWX762BFAHE \
  | 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: 82bdedd3daa30f18bb81b5ffed04a039311d5f35fefda0b75646b9f3199d9946

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4efcd06d7d0e3c5a73b455a6080f90c3ca86f4b9f37622c3d23e50c724b94e22",
    "cross_cats_sorted": [
      "math-ph",
      "math.KT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-09-18T21:47:18Z",
    "title_canon_sha256": "a91f8332cd52ca90ddccb75443a903e73185f3b2f51c36e0e6611ba3dd8782dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05557",
    "kind": "arxiv",
    "version": 1
  }
}