Pith Number

pith:O6ATXWMX

pith:2016:O6ATXWMX663RBMI22IJSVVU26R

not attested not anchored not stored refs pending

Garsia-Rodemich Spaces: Bourgain-Brezis-Mironescu space, embeddings and rearrangement invariant spaces

Mario Milman

arxiv:1608.07849 v4 · 2016-08-28 · 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{O6ATXWMX663RBMI22IJSVVU26R}

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	2026-05-18T00:49:58.572969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77813bd997f7b710b11ad2132ad69af445078f283325e93e67a5766015bd964f

Aliases

arxiv: 1608.07849 · arxiv_version: 1608.07849v4 · doi: 10.48550/arxiv.1608.07849 · pith_short_12: O6ATXWMX663R · pith_short_16: O6ATXWMX663RBMI2 · pith_short_8: O6ATXWMX

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/O6ATXWMX663RBMI22IJSVVU26R \
  | 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: 77813bd997f7b710b11ad2132ad69af445078f283325e93e67a5766015bd964f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05bfefd4c230dd6310b4847b02bb5b7f8d9fb5f4f9e4dff7a29006d9f7e982ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-08-28T20:09:02Z",
    "title_canon_sha256": "e64a2c4d896d00e67e8cbefb95d513dcc28a17955b9e70a270e81b048b220a2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.07849",
    "kind": "arxiv",
    "version": 4
  }
}