Pith Number

pith:NIR6W26N

pith:2005:NIR6W26NYTEHFBH2ROKVKXE4GS

not attested not anchored not stored refs pending

Discrete orthogonal polynomials and difference equations of several variables

Plamen Iliev, Yuan Xu

arxiv:math/0508039 v3 · 2005-08-01 · 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{NIR6W26NYTEHFBH2ROKVKXE4GS}

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	2026-05-18T03:57:13.177382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a23eb6bcdc4c87284fa8b95555c9c34859ea6c5d3c73a48fe8dd0b16eb830b0

Aliases

arxiv: math/0508039 · arxiv_version: math/0508039v3 · doi: 10.48550/arxiv.math/0508039 · pith_short_12: NIR6W26NYTEH · pith_short_16: NIR6W26NYTEHFBH2 · pith_short_8: NIR6W26N

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/NIR6W26NYTEHFBH2ROKVKXE4GS \
  | 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: 6a23eb6bcdc4c87284fa8b95555c9c34859ea6c5d3c73a48fe8dd0b16eb830b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdee28dc1ba2f829143342a7f5dcd874212bd90bb0437468918a2f07e46649c1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2005-08-01T14:58:39Z",
    "title_canon_sha256": "1ccfbca6f201950b1e813e721cfd62270e1678c331e17fc3662ddf3b78cd578c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0508039",
    "kind": "arxiv",
    "version": 3
  }
}