Pith Number

pith:5V4L2D5I

pith:2010:5V4L2D5IMSDHOSPZ5AL6Q6YNXC

not attested not anchored not stored refs pending

An interesting application of Gegebauer Polynomials

Susanna Dann

arxiv:1003.5216 v2 · 2010-03-26 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5V4L2D5IMSDHOSPZ5AL6Q6YNXC}

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	2026-05-18T04:42:33.661813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed78bd0fa864867749f9e817e87b0db8b67908df6bc7f548cd2e99461c487f7f

Aliases

arxiv: 1003.5216 · arxiv_version: 1003.5216v2 · doi: 10.48550/arxiv.1003.5216 · pith_short_12: 5V4L2D5IMSDH · pith_short_16: 5V4L2D5IMSDHOSPZ · pith_short_8: 5V4L2D5I

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/5V4L2D5IMSDHOSPZ5AL6Q6YNXC \
  | 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: ed78bd0fa864867749f9e817e87b0db8b67908df6bc7f548cd2e99461c487f7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f80189cd5098419f7ccd027af29cf860d6abeb6cf45a56a6f3ac2947509ba87",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-03-26T20:00:47Z",
    "title_canon_sha256": "cf2753844a425d0f0a3e7c87229975a33fedf30385c5801a4890d641b03007d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.5216",
    "kind": "arxiv",
    "version": 2
  }
}