Pith Number

pith:MB5WU6FT

pith:2017:MB5WU6FTULOMG6WG6B5JGLXLCZ

not attested not anchored not stored refs pending

Poincar\'e and Brunn--Minkowski inequalities on the boundary of weighted Riemannian manifolds

Alexander V. Kolesnikov, Emanuel Milman

arxiv:1711.08825 v1 · 2017-11-23 · math.DG · 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{MB5WU6FTULOMG6WG6B5JGLXLCZ}

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	2026-05-18T00:29:44.004285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

607b6a78b3a2dcc37ac6f07a932eeb167d4fc7a55bc804f323904b604787ebe6

Aliases

arxiv: 1711.08825 · arxiv_version: 1711.08825v1 · doi: 10.48550/arxiv.1711.08825 · pith_short_12: MB5WU6FTULOM · pith_short_16: MB5WU6FTULOMG6WG · pith_short_8: MB5WU6FT

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/MB5WU6FTULOMG6WG6B5JGLXLCZ \
  | 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: 607b6a78b3a2dcc37ac6f07a932eeb167d4fc7a55bc804f323904b604787ebe6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5354b25e010d4520002537e0f3527e2adf9c1b73605d690f22380cdde18cd17",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-11-23T20:30:00Z",
    "title_canon_sha256": "cdc8343ddbbac9f8f2c6a352699682c2a5fc117777a0852e280fada5576440c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.08825",
    "kind": "arxiv",
    "version": 1
  }
}