Pith Number

pith:UDELIBX5

pith:2016:UDELIBX5ZY3DDR6GLKZJAMPFCW

not attested not anchored not stored refs pending

Poincar\'e inequality 3/2 on the Hamming cube

Alexander Volberg, Paata Ivanisvili

arxiv:1608.04021 v1 · 2016-08-13 · 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{UDELIBX5ZY3DDR6GLKZJAMPFCW}

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	2026-05-18T01:09:04.441414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0c8b406fdce3631c7c65ab29031e515bba660b22bf998bc2de77565727312e6

Aliases

arxiv: 1608.04021 · arxiv_version: 1608.04021v1 · doi: 10.48550/arxiv.1608.04021 · pith_short_12: UDELIBX5ZY3D · pith_short_16: UDELIBX5ZY3DDR6G · pith_short_8: UDELIBX5

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/UDELIBX5ZY3DDR6GLKZJAMPFCW \
  | 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: a0c8b406fdce3631c7c65ab29031e515bba660b22bf998bc2de77565727312e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f9d7e91665bde33b7b7642facdb296158e0cdfa2039316f28357bb65ec14a16",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-08-13T19:39:23Z",
    "title_canon_sha256": "6a0f862a656cb5d36f0584a1f9ae184de346ba663662c7262c92e0b5551b970d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04021",
    "kind": "arxiv",
    "version": 1
  }
}