Pith Number

pith:TCU7KOBU

pith:2020:TCU7KOBUNL76DARJP5F5CBPCKW

not attested not anchored not stored refs pending

Congruences related to Miki's identity

Claire I. Levaillant

arxiv:2005.09434 v1 · 2020-05-19 · math.CO · 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{TCU7KOBUNL76DARJP5F5CBPCKW}

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.

Cited by

1 paper in Pith

An Explicit Expression for MZVs in Terms of Symmetric MZVs

Receipt and verification

First computed	2026-07-05T01:03:50.218679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98a9f538346affe182297f4bd105e25582817811f7db6fafec6aa39423dce25c

Aliases

arxiv: 2005.09434 · arxiv_version: 2005.09434v1 · doi: 10.48550/arxiv.2005.09434 · pith_short_12: TCU7KOBUNL76 · pith_short_16: TCU7KOBUNL76DARJ · pith_short_8: TCU7KOBU

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/TCU7KOBUNL76DARJP5F5CBPCKW \
  | 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: 98a9f538346affe182297f4bd105e25582817811f7db6fafec6aa39423dce25c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88b2d7a3b4918b928930093f818732a254c46ead0f8c47f37d23945955ddcaa8",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-05-19T13:24:12Z",
    "title_canon_sha256": "64e3b7a9e6e0940a06fd56df558c9c719227bcbe0e545493f6112193ad5ab154"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.09434",
    "kind": "arxiv",
    "version": 1
  }
}