Pith Number

pith:WLIQCI5R

pith:2014:WLIQCI5RMCPUEDTDK3PKRABWKS

not attested not anchored not stored refs pending

Polylogarithmic analogue of the Coleman-Ihara formula, I

Hiroaki Nakamura, Kenji Sakugawa, Zdzislaw Wojtkowiak

arxiv:1410.1045 v3 · 2014-10-04 · 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{WLIQCI5RMCPUEDTDK3PKRABWKS}

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	2026-05-18T00:48:43.406715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2d10123b1609f420e6356dea88036549f09d2df5949052a026fba93e037caf0

Aliases

arxiv: 1410.1045 · arxiv_version: 1410.1045v3 · doi: 10.48550/arxiv.1410.1045 · pith_short_12: WLIQCI5RMCPU · pith_short_16: WLIQCI5RMCPUEDTD · pith_short_8: WLIQCI5R

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/WLIQCI5RMCPUEDTDK3PKRABWKS \
  | 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: b2d10123b1609f420e6356dea88036549f09d2df5949052a026fba93e037caf0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cf48a63fa6f4534447f028c7e66b1bde0d70580cab183dae991891971d69687",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-10-04T12:51:01Z",
    "title_canon_sha256": "a743a12aa23323bb33f1aea794f6bbd528c0e76aded0db651282c6044564ac6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.1045",
    "kind": "arxiv",
    "version": 3
  }
}