Pith Number

pith:J2GIMWCI

pith:2025:J2GIMWCIAYWKJ6USSW3AICDVF3

not attested not anchored not stored refs pending

An Introduction to Algebraic Combinatorics

Darij Grinberg

arxiv:2506.00738 v1 · 2025-05-31 · 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{J2GIMWCIAYWKJ6USSW3AICDVF3}

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

Formalized $q$-series: The Rogers-Ramanujan Identities and Beyond

Receipt and verification

First computed	2026-07-05T11:13:39.672563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e8c865848062ca4fa9295b60408752ee7d69985cd812c459eed345c97d26292

Aliases

arxiv: 2506.00738 · arxiv_version: 2506.00738v1 · doi: 10.48550/arxiv.2506.00738 · pith_short_12: J2GIMWCIAYWK · pith_short_16: J2GIMWCIAYWKJ6US · pith_short_8: J2GIMWCI

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/J2GIMWCIAYWKJ6USSW3AICDVF3 \
  | 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: 4e8c865848062ca4fa9295b60408752ee7d69985cd812c459eed345c97d26292

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acf35733a24794c33e6d41bb05b5a3bc1f38b98559c08e9b495f553329372426",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-05-31T22:58:31Z",
    "title_canon_sha256": "327d267061e7f8cebfb76a3b3932c80fac0d17d06f47dab2676f72528e10f2fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.00738",
    "kind": "arxiv",
    "version": 1
  }
}