Pith Number

pith:C7DEYQSJ

pith:2021:C7DEYQSJQKK7HWWRYL4OZUBMWR

not attested not anchored not stored refs pending

The pre-Pieri rules

Darij Grinberg

arxiv:2110.03108 v2 · 2021-10-06 · math.CO · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C7DEYQSJQKK7HWWRYL4OZUBMWR}

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	2026-05-25T02:00:59.746699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17c64c42498295f3dad1c2f8ecd02cb4794c09751a4cf5acb839a7ac42c96932

Aliases

arxiv: 2110.03108 · arxiv_version: 2110.03108v2 · doi: 10.48550/arxiv.2110.03108 · pith_short_12: C7DEYQSJQKK7 · pith_short_16: C7DEYQSJQKK7HWWR · pith_short_8: C7DEYQSJ

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/C7DEYQSJQKK7HWWRYL4OZUBMWR \
  | 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: 17c64c42498295f3dad1c2f8ecd02cb4794c09751a4cf5acb839a7ac42c96932

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a39b72ad09daac9bfcc0523a88e36c18d25e3d9c944359fda5a728da30832597",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-10-06T23:48:04Z",
    "title_canon_sha256": "098583fbee618ea79dca6e13ac4f915aa9ebdb9c2fef9026223ecd3fdee0c972"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.03108",
    "kind": "arxiv",
    "version": 2
  }
}