Pith Number

pith:SGHHOTPX

pith:2020:SGHHOTPXOQP2SZH27N5ZK6POJS

not attested not anchored not stored refs pending

Areas of areas generate the shuffle algebra

Jeremy Reizenstein, Joscha Diehl, Rosa Prei{\ss}, Terry Lyons

arxiv:2002.02338 v2 · 2020-02-06 · math.RA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SGHHOTPXOQP2SZH27N5ZK6POJS}

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

Cyclic polytopes through the lens of iterated integrals

Receipt and verification

First computed	2026-07-05T02:56:12.330058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

918e774df7741fa964fafb7b9579ee4ca0b8be2998c4010c839925458568d2ef

Aliases

arxiv: 2002.02338 · arxiv_version: 2002.02338v2 · doi: 10.48550/arxiv.2002.02338 · pith_short_12: SGHHOTPXOQP2 · pith_short_16: SGHHOTPXOQP2SZH2 · pith_short_8: SGHHOTPX

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/SGHHOTPXOQP2SZH27N5ZK6POJS \
  | 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: 918e774df7741fa964fafb7b9579ee4ca0b8be2998c4010c839925458568d2ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d5a11afe891228dd9cc0fc7a0157616efa7297fa452e902de0d594760c3ff07",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2020-02-06T16:35:51Z",
    "title_canon_sha256": "639b4e5b8b41ec91fa22fcc594965786204034159a5300ebd65bd811822fca52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.02338",
    "kind": "arxiv",
    "version": 2
  }
}