Pith Number

pith:HP5XPNRP

pith:2015:HP5XPNRPCBBSTWUBNBDFS7HBPZ

not attested not anchored not stored refs pending

On uniformly bounded basis in spaces of holomorphic functions

Jean Bourgain

arxiv:1506.05694 v1 · 2015-06-18 · 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{HP5XPNRPCBBSTWUBNBDFS7HBPZ}

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	2026-05-18T01:44:09.964718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bfb77b62f104329da816846597ce17e516fc515c932076bda5afa58020547da

Aliases

arxiv: 1506.05694 · arxiv_version: 1506.05694v1 · doi: 10.48550/arxiv.1506.05694 · pith_short_12: HP5XPNRPCBBS · pith_short_16: HP5XPNRPCBBSTWUB · pith_short_8: HP5XPNRP

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/HP5XPNRPCBBSTWUBNBDFS7HBPZ \
  | 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: 3bfb77b62f104329da816846597ce17e516fc515c932076bda5afa58020547da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62e272ece69298ee3739b90fcc883eec6ce666dc4ec4c53faddbfc965353aca9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-06-18T14:31:14Z",
    "title_canon_sha256": "57ac7ddbb3fc16af66a1a80b5a36c8af4614b71c7424b57ddfdaeee454ce943f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.05694",
    "kind": "arxiv",
    "version": 1
  }
}