Pith Number

pith:Q77EQOYY

pith:2016:Q77EQOYYXVBDTACOJPTSJUUELD

not attested not anchored not stored refs pending

Improving Beckner's bound via Hermite functions

Alexander Volberg, Paata Ivanisvili

arxiv:1606.08500 v3 · 2016-06-27 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q77EQOYYXVBDTACOJPTSJUUELD}

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	2026-05-18T00:42:32.750659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87fe483b18bd4239804e4be724d28458df6273c31840d00cde92a3cc62aab2af

Aliases

arxiv: 1606.08500 · arxiv_version: 1606.08500v3 · doi: 10.48550/arxiv.1606.08500 · pith_short_12: Q77EQOYYXVBD · pith_short_16: Q77EQOYYXVBDTACO · pith_short_8: Q77EQOYY

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/Q77EQOYYXVBDTACOJPTSJUUELD \
  | 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: 87fe483b18bd4239804e4be724d28458df6273c31840d00cde92a3cc62aab2af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "776c820d893466c74517d54f7cbe6b4c0f574c5df464cf879d2222bdd2198059",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-06-27T22:20:02Z",
    "title_canon_sha256": "b865f8b2ce85c66f3bcb15025026552e297fc8f86f686b627b3eae7878ca876c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.08500",
    "kind": "arxiv",
    "version": 3
  }
}