Pith Number

pith:5ILUCPEF

pith:2012:5ILUCPEFG7OA6UUI5SC4D2G7QV

not attested not anchored not stored refs pending

The $L^p$ primitive integral

Erik Talvila

arxiv:1208.3694 v1 · 2012-08-17 · math.CA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5ILUCPEFG7OA6UUI5SC4D2G7QV}

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	2026-05-18T03:48:26.521487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea17413c8537dc0f5288ec85c1e8df855ac8d957b7c8312f95c69972d5d58df5

Aliases

arxiv: 1208.3694 · arxiv_version: 1208.3694v1 · doi: 10.48550/arxiv.1208.3694 · pith_short_12: 5ILUCPEFG7OA · pith_short_16: 5ILUCPEFG7OA6UUI · pith_short_8: 5ILUCPEF

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/5ILUCPEFG7OA6UUI5SC4D2G7QV \
  | 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: ea17413c8537dc0f5288ec85c1e8df855ac8d957b7c8312f95c69972d5d58df5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "198d94a4455ee54056ea9eca833159af8b252f34429770f023f0fc5a5399b4f8",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-08-17T21:21:53Z",
    "title_canon_sha256": "1da8d8270e1798e9f15f7584b8bd29d2098393a8290d64814d90da267f85b296"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3694",
    "kind": "arxiv",
    "version": 1
  }
}