Pith Number

pith:JYGPX2OH

pith:2020:JYGPX2OH4JVE552M7EI6HJCHDB

not attested not anchored not stored refs pending

Petrie symmetric functions

Darij Grinberg

arxiv:2004.11194 v3 · 2020-04-23 · 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{JYGPX2OH4JVE552M7EI6HJCHDB}

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

The V/L recursion for Macdonald's 7th Variation Schur polynomials

Receipt and verification

First computed	2026-07-05T06:53:27.437252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e0cfbe9c7e26a4ef74cf911e3a44718600fa373c5bf2abd6519ab8511017c55

Aliases

arxiv: 2004.11194 · arxiv_version: 2004.11194v3 · doi: 10.48550/arxiv.2004.11194 · pith_short_12: JYGPX2OH4JVE · pith_short_16: JYGPX2OH4JVE552M · pith_short_8: JYGPX2OH

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/JYGPX2OH4JVE552M7EI6HJCHDB \
  | 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: 4e0cfbe9c7e26a4ef74cf911e3a44718600fa373c5bf2abd6519ab8511017c55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a9b9e2a64591f99f4bfe2447ba2dfe00a0010f2873451c0c34a314d20555bd6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-04-23T14:40:44Z",
    "title_canon_sha256": "b1505bc40e779c6a61c57b5080479837e5e9f9c8950211f023fdfde11a276f2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.11194",
    "kind": "arxiv",
    "version": 3
  }
}