Pith Number

pith:RMR4CL7Q

pith:2008:RMR4CL7QANG5CE4Q4RHVBN4TOI

not attested not anchored not stored refs pending

Eulerian quasisymmetric functions

John Shareshian, Michelle L. Wachs

arxiv:0812.0764 v2 · 2008-12-03 · 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{RMR4CL7QANG5CE4Q4RHVBN4TOI}

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	2026-05-18T04:42:02.056265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b23c12ff0034dd11390e44f50b7937214a02a641b09463dce5d249e4e6ea239

Aliases

arxiv: 0812.0764 · arxiv_version: 0812.0764v2 · doi: 10.48550/arxiv.0812.0764 · pith_short_12: RMR4CL7QANG5 · pith_short_16: RMR4CL7QANG5CE4Q · pith_short_8: RMR4CL7Q

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/RMR4CL7QANG5CE4Q4RHVBN4TOI \
  | 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: 8b23c12ff0034dd11390e44f50b7937214a02a641b09463dce5d249e4e6ea239

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "858e21d746226e8b32d45ab27348aa7054fe8cb8ff9fb3bdf2f09dfe7f1fa2ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-12-03T18:13:11Z",
    "title_canon_sha256": "0f63968a8033745464727f64091e84ae5fc2ef97ed1b725d7a392ca8f98ea6d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.0764",
    "kind": "arxiv",
    "version": 2
  }
}