Pith Number

pith:USN62H52

pith:2020:USN62H52ULALM66MHTHCGYAS6T

not attested not anchored not stored refs pending

Notes on the combinatorial fundamentals of algebra

Darij Grinberg

arxiv:2008.09862 v3 · 2020-08-22 · 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{USN62H52ULALM66MHTHCGYAS6T}

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

4 papers in Pith

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

The pre-Pieri rules

The trace Cayley-Hamilton theorem

Compositions of $n$-homomorphisms

Receipt and verification

First computed	2026-07-05T04:57:41.446549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a49bed1fbaa2c0b67bcc3cce236012f4ec43c74678df9ae5163972ad747e01c4

Aliases

arxiv: 2008.09862 · arxiv_version: 2008.09862v3 · doi: 10.48550/arxiv.2008.09862 · pith_short_12: USN62H52ULAL · pith_short_16: USN62H52ULALM66M · pith_short_8: USN62H52

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/USN62H52ULALM66MHTHCGYAS6T \
  | 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: a49bed1fbaa2c0b67bcc3cce236012f4ec43c74678df9ae5163972ad747e01c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00bd7512999cc6b6a8a7abe08e7eced177b615db72c3c820dce45291e2e430a2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-08-22T16:06:22Z",
    "title_canon_sha256": "bd223bd6eaa17f1ae572ada8ba69c99ba293df881f50bd1473325d6cba6eb63c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.09862",
    "kind": "arxiv",
    "version": 3
  }
}