Pith Number

pith:IL5Z7ZFZ

pith:2010:IL5Z7ZFZEXAKDOXLS2S3VMFANK

not attested not anchored not stored refs pending

New upper bounds for the constants in the Bohnenblust-Hille inequality

Daniel Pellegrino, Juan B. Seoane-Sep\'ulveda

arxiv:1010.0461 v3 · 2010-10-04 · 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{IL5Z7ZFZEXAKDOXLS2S3VMFANK}

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	2026-05-18T04:16:32.157731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42fb9fe4b925c0a1baeb96a5bab0a06aba61b405013b41e58cb8fda67636a2c1

Aliases

arxiv: 1010.0461 · arxiv_version: 1010.0461v3 · doi: 10.48550/arxiv.1010.0461 · pith_short_12: IL5Z7ZFZEXAK · pith_short_16: IL5Z7ZFZEXAKDOXL · pith_short_8: IL5Z7ZFZ

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/IL5Z7ZFZEXAKDOXLS2S3VMFANK \
  | 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: 42fb9fe4b925c0a1baeb96a5bab0a06aba61b405013b41e58cb8fda67636a2c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42f1d77bd4d147520dceedc16549ecc1275fd4d30abe24c0d30c8be745aa8663",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-10-04T01:13:06Z",
    "title_canon_sha256": "b90c256393fbedbd95ba913bbccd60dad67c94aeea3a41b6924c3048c6554a95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0461",
    "kind": "arxiv",
    "version": 3
  }
}