Pith Number

pith:5ZP2YXLB

pith:2015:5ZP2YXLBUMWK6P4LZVNALI66EQ

not attested not anchored not stored refs pending

Chopping a Chebyshev Series

Jared L. Aurentz, Lloyd N. Trefethen

arxiv:1512.01803 v1 · 2015-12-06 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5ZP2YXLBUMWK6P4LZVNALI66EQ}

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	2026-05-18T01:25:10.335920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee5fac5d61a32caf3f8bcd5a05a3de2421de696d00e776681bccd184c0b8ea3a

Aliases

arxiv: 1512.01803 · arxiv_version: 1512.01803v1 · doi: 10.48550/arxiv.1512.01803 · pith_short_12: 5ZP2YXLBUMWK · pith_short_16: 5ZP2YXLBUMWK6P4L · pith_short_8: 5ZP2YXLB

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/5ZP2YXLBUMWK6P4LZVNALI66EQ \
  | 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: ee5fac5d61a32caf3f8bcd5a05a3de2421de696d00e776681bccd184c0b8ea3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2beeb52aa41a31fca9f6be6baf9b438e0b45c7340440a283260ca8d40a85d17f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-12-06T15:47:38Z",
    "title_canon_sha256": "59b10c1757771be59b65b2a6b0e7b17db992472dc86c34851e1a38008f236af6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01803",
    "kind": "arxiv",
    "version": 1
  }
}