Pith Number

pith:Q4MOYPDW

pith:2015:Q4MOYPDWTFTDRVFA3Y56IODIZU

not attested not anchored not stored refs pending

On functional equations of finite multiple polylogarithms

Kenji Sakugawa, Shin-ichiro Seki

arxiv:1509.07653 v2 · 2015-09-25 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q4MOYPDWTFTDRVFA3Y56IODIZU}

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	2026-05-18T01:20:16.781487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8718ec3c76996638d4a0de3be43868cd27892c3d6129d4bf89eecd7de017f604

Aliases

arxiv: 1509.07653 · arxiv_version: 1509.07653v2 · doi: 10.48550/arxiv.1509.07653 · pith_short_12: Q4MOYPDWTFTD · pith_short_16: Q4MOYPDWTFTDRVFA · pith_short_8: Q4MOYPDW

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/Q4MOYPDWTFTDRVFA3Y56IODIZU \
  | 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: 8718ec3c76996638d4a0de3be43868cd27892c3d6129d4bf89eecd7de017f604

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b99faa699dbf7933bb8702da92e721f339b56f12faf6fe9836ffbde38c60ab8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-09-25T09:39:46Z",
    "title_canon_sha256": "bb122fd8f682b8af215cf9f47301985710d45e0d2a0fea9e9b255c84ffcd9e36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07653",
    "kind": "arxiv",
    "version": 2
  }
}