Pith Number

pith:MP2HR3TR

pith:2015:MP2HR3TRILIIODOS4NGEMFBWWC

not attested not anchored not stored refs pending

On the functional equations for polylogarithms in one variable

Daniil Rudenko

arxiv:1511.09110 v1 · 2015-11-02 · 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{MP2HR3TRILIIODOS4NGEMFBWWC}

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	2026-05-18T01:25:41.112284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63f478ee7142d0870dd2e34c461436b0b95d9e14a74d0c300a7f8d725d81ae88

Aliases

arxiv: 1511.09110 · arxiv_version: 1511.09110v1 · doi: 10.48550/arxiv.1511.09110 · pith_short_12: MP2HR3TRILII · pith_short_16: MP2HR3TRILIIODOS · pith_short_8: MP2HR3TR

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/MP2HR3TRILIIODOS4NGEMFBWWC \
  | 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: 63f478ee7142d0870dd2e34c461436b0b95d9e14a74d0c300a7f8d725d81ae88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0526fb5f7812da1e7e6acc8a08a574e0a26a1efe6b10b7c10286082e2bb90eef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-11-02T15:14:02Z",
    "title_canon_sha256": "1cb4fe61508c862047122fc66773ba7ac8609693ca480de914960e384c70daa6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.09110",
    "kind": "arxiv",
    "version": 1
  }
}