Pith Number

pith:SNTCKMHN

pith:2003:SNTCKMHNJCRWAWQJ6ALEPE7IC3

not attested not anchored not stored refs pending

Effective Scalar Products for D-finite Symmetric Functions

Bruno Salvy, Fr\'ed\'eric Chyzak, Marni Mishna

arxiv:math/0310132 v3 · 2003-10-09 · 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{SNTCKMHNJCRWAWQJ6ALEPE7IC3}

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	2026-05-18T03:40:51.803280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93662530ed48a3605a09f0164793e816c1911cc442d9ff1bd1cfde573702cbcc

Aliases

arxiv: math/0310132 · arxiv_version: math/0310132v3 · doi: 10.48550/arxiv.math/0310132 · pith_short_12: SNTCKMHNJCRW · pith_short_16: SNTCKMHNJCRWAWQJ · pith_short_8: SNTCKMHN

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/SNTCKMHNJCRWAWQJ6ALEPE7IC3 \
  | 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: 93662530ed48a3605a09f0164793e816c1911cc442d9ff1bd1cfde573702cbcc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4c204af701b298259384a7eec450ed4355edcfd20b5ffc399042a0d3364f224",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2003-10-09T10:22:57Z",
    "title_canon_sha256": "e52fd6551913e33df5b36b2ddff8aeb56f6c70d796e72b32deaedc46e579aac0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0310132",
    "kind": "arxiv",
    "version": 3
  }
}