Pith Number

pith:63MHZUGK

pith:2013:63MHZUGKJFO4OHLTCGZWUK7WC2

not attested not anchored not stored refs pending

Multiplicative structures of the immaculate basis of non-commutative symmetric functions

Chris Berg, Franco Saliola, Luis Serrano, Mike Zabrocki, Nantel Bergeron

arxiv:1305.4700 v3 · 2013-05-21 · 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{63MHZUGKJFO4OHLTCGZWUK7WC2}

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 pre-Pieri rules

Receipt and verification

First computed	2026-05-18T00:38:44.389789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6d87cd0ca495dc71d7311b36a2bf61680bd22c5071f363e487ddc3001cdba49

Aliases

arxiv: 1305.4700 · arxiv_version: 1305.4700v3 · doi: 10.48550/arxiv.1305.4700 · pith_short_12: 63MHZUGKJFO4 · pith_short_16: 63MHZUGKJFO4OHLT · pith_short_8: 63MHZUGK

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/63MHZUGKJFO4OHLTCGZWUK7WC2 \
  | 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: f6d87cd0ca495dc71d7311b36a2bf61680bd22c5071f363e487ddc3001cdba49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86f468cb35b2fa93d92071c4d63f48ea7871e68ac3ae02ede42c418a16a47d5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-05-21T03:22:39Z",
    "title_canon_sha256": "73ecc2f89d5389345cd5591808e86d72c9cf8a0c750827cb6bfeeb837bd4af1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4700",
    "kind": "arxiv",
    "version": 3
  }
}