Pith Number

pith:F55DMTOA

pith:2011:F55DMTOAWPMYIGEFUEZO7WT733

not attested not anchored not stored refs pending

On Krawtchouk Transforms

Philip Feinsilver, Ren\'e Schott

arxiv:1107.1695 v1 · 2011-06-24 · cs.IT · math.CA · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F55DMTOAWPMYIGEFUEZO7WT733}

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	2026-05-18T04:18:35.189734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f7a364dc0b3d9841885a132efda7fdec89a976cee53a5a9da15133266ba329a

Aliases

arxiv: 1107.1695 · arxiv_version: 1107.1695v1 · doi: 10.48550/arxiv.1107.1695 · pith_short_12: F55DMTOAWPMY · pith_short_16: F55DMTOAWPMYIGEF · pith_short_8: F55DMTOA

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/F55DMTOAWPMYIGEFUEZO7WT733 \
  | 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: 2f7a364dc0b3d9841885a132efda7fdec89a976cee53a5a9da15133266ba329a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "081e0b0dc71a06590fdce7d64aeffbae482eb28bc7fc91f444e7ad0253ac677d",
    "cross_cats_sorted": [
      "math.CA",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-06-24T02:34:47Z",
    "title_canon_sha256": "ad1af3d938225e55f6f2c7e2aac5f38dbe8e2ee2d71f6e32ccbaf8e4b3456030"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1695",
    "kind": "arxiv",
    "version": 1
  }
}