Pith Number

pith:7PKMCDXQ

pith:2002:7PKMCDXQ7IQYPQGHQPL6SPJTUE

not attested not anchored not stored refs pending

Ideals of Quasi-Symmetric Functions and Super-Covariant Polynomials for S_n

F. Bergeron, J.-C. Aval, N. Bergeron

arxiv:math/0202071 v1 · 2002-02-08 · 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{7PKMCDXQ7IQYPQGHQPL6SPJTUE}

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	2026-05-18T01:00:03.468460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbd4c10ef0fa2187c0c783d7e93d33a12306c7fab86781a7d277faa07a123d80

Aliases

arxiv: math/0202071 · arxiv_version: math/0202071v1 · doi: 10.48550/arxiv.math/0202071 · pith_short_12: 7PKMCDXQ7IQY · pith_short_16: 7PKMCDXQ7IQYPQGH · pith_short_8: 7PKMCDXQ

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/7PKMCDXQ7IQYPQGHQPL6SPJTUE \
  | 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: fbd4c10ef0fa2187c0c783d7e93d33a12306c7fab86781a7d277faa07a123d80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d86608bdae2e64e4159d76da85df11723f87caac09f68a7cdbd547cadfe092c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2002-02-08T14:18:33Z",
    "title_canon_sha256": "6abadd9e888d6a8d201acb87bfd3e5fa5f47f3054f702998760eb770b7be84cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0202071",
    "kind": "arxiv",
    "version": 1
  }
}