Pith Number

pith:ELS64NWK

pith:2018:ELS64NWKWYIMTD46Z2TURCQ4KJ

not attested not anchored not stored refs pending

Algebraic differential formulas for the shuffle, stuffle and duality relations of iterated integrals

Minoru Hirose, Nobuo Sato

arxiv:1801.03165 v3 · 2018-01-09 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ELS64NWKWYIMTD46Z2TURCQ4KJ}

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	2026-07-04T23:50:52.419227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22e5ee36cab610c98f9ecea7488a1c525dffa4da850d72f4990bf2f1c3ce22fd

Aliases

arxiv: 1801.03165 · arxiv_version: 1801.03165v3 · doi: 10.48550/arxiv.1801.03165 · pith_short_12: ELS64NWKWYIM · pith_short_16: ELS64NWKWYIMTD46 · pith_short_8: ELS64NWK

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/ELS64NWKWYIMTD46Z2TURCQ4KJ \
  | 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: 22e5ee36cab610c98f9ecea7488a1c525dffa4da850d72f4990bf2f1c3ce22fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f86fcea01045caf80e6aad1b0a1b9ceab155c0f2666c35062270f08324a0f81",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-01-09T22:39:53Z",
    "title_canon_sha256": "b6c97dac2f95c2cc2c2f260fae70904a9635bf2f2a6af4d8b2e0861ab04bae8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.03165",
    "kind": "arxiv",
    "version": 3
  }
}