Pith Number

pith:MRKDJTNI

pith:2017:MRKDJTNIRYU5GEPOTEHSIUMKFO

not attested not anchored not stored refs pending

Schur P-positivity and involution Stanley symmetric functions

Brendan Pawlowski, Eric Marberg, Zachary Hamaker

arxiv:1701.02824 v4 · 2017-01-11 · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MRKDJTNIRYU5GEPOTEHSIUMKFO}

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	2026-05-18T00:31:00.163050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

645434cda88e29d311ee990f24518a2bb6f04bbd7f8e68ac1ee18d171843f90c

Aliases

arxiv: 1701.02824 · arxiv_version: 1701.02824v4 · doi: 10.48550/arxiv.1701.02824 · pith_short_12: MRKDJTNIRYU5 · pith_short_16: MRKDJTNIRYU5GEPO · pith_short_8: MRKDJTNI

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/MRKDJTNIRYU5GEPOTEHSIUMKFO \
  | 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: 645434cda88e29d311ee990f24518a2bb6f04bbd7f8e68ac1ee18d171843f90c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f992afc31d9198dad8bf5a17a25013155ab4ebc4d3b49fd9046faba0f1995a37",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-01-11T02:00:32Z",
    "title_canon_sha256": "a3d3cd2c4024fc8d1903ff3a437ed3e8f8873633529cd9857375530179519e82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.02824",
    "kind": "arxiv",
    "version": 4
  }
}