Pith Number

pith:U3PJJFVO

pith:2012:U3PJJFVODUOZG6POHH6N4RC5RC

not attested not anchored not stored refs pending

Asymptotic $L^4$ norm of polynomials derived from characters

Daniel J. Katz

arxiv:1205.1069 v2 · 2012-05-04 · math.NT · cs.IT · math.CO · 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{U3PJJFVODUOZG6POHH6N4RC5RC}

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	2026-05-18T03:42:44.355393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6de9496ae1d1d9379ee39fcde445d88a3aee0b1350243b66de693ab447c1583

Aliases

arxiv: 1205.1069 · arxiv_version: 1205.1069v2 · doi: 10.48550/arxiv.1205.1069 · pith_short_12: U3PJJFVODUOZ · pith_short_16: U3PJJFVODUOZG6PO · pith_short_8: U3PJJFVO

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/U3PJJFVODUOZG6POHH6N4RC5RC \
  | 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: a6de9496ae1d1d9379ee39fcde445d88a3aee0b1350243b66de693ab447c1583

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "959acff6c4930c99213396d4c87a1c9dd02bb35efbc2d576e72f03c473856e37",
    "cross_cats_sorted": [
      "cs.IT",
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-05-04T20:36:54Z",
    "title_canon_sha256": "e6a34486a11f6927559667262bdb11a6aa1388aae422590c859be955c2c7dd3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1069",
    "kind": "arxiv",
    "version": 2
  }
}