Pith Number

pith:XMGECEIB

pith:2017:XMGECEIBGYXCDTJ6PBA5ZBHWAY

not attested not anchored not stored refs pending

On a homogenization problem

Jean Bourgain

arxiv:1705.06174 v1 · 2017-05-17 · 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{XMGECEIBGYXCDTJ6PBA5ZBHWAY}

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	2026-05-18T00:19:35.763927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb0c411101362e21cd3e7841dc84f6060356dd973531ed0440e0d6e06dfc6d2d

Aliases

arxiv: 1705.06174 · arxiv_version: 1705.06174v1 · doi: 10.48550/arxiv.1705.06174 · pith_short_12: XMGECEIBGYXC · pith_short_16: XMGECEIBGYXCDTJ6 · pith_short_8: XMGECEIB

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/XMGECEIBGYXCDTJ6PBA5ZBHWAY \
  | 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: bb0c411101362e21cd3e7841dc84f6060356dd973531ed0440e0d6e06dfc6d2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88109cb323d11f8fb28591d80b71362040be35b66c72a84eda7658aefca7d875",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-05-17T14:17:20Z",
    "title_canon_sha256": "c406f64549e76d609066b7b5d1514e28ea1f12be71237afef8c190d954233640"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.06174",
    "kind": "arxiv",
    "version": 1
  }
}