Pith Number

pith:Y6B5QQWH

pith:2010:Y6B5QQWHZAHFPNHJSBWFXUJESV

not attested not anchored not stored refs pending

Isoperimetric Bounds on Convex Manifolds

Emanuel Milman

arxiv:1004.0485 v2 · 2010-04-04 · math.FA · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y6B5QQWHZAHFPNHJSBWFXUJESV}

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	2026-05-18T04:22:50.111760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c783d842c7c80e57b4e9906c5bd124954794f7c6f94c7c708a934657f255e270

Aliases

arxiv: 1004.0485 · arxiv_version: 1004.0485v2 · doi: 10.48550/arxiv.1004.0485 · pith_short_12: Y6B5QQWHZAHF · pith_short_16: Y6B5QQWHZAHFPNHJ · pith_short_8: Y6B5QQWH

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/Y6B5QQWHZAHFPNHJSBWFXUJESV \
  | 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: c783d842c7c80e57b4e9906c5bd124954794f7c6f94c7c708a934657f255e270

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1e2a64f70c933f1b6f225200f17521b4d784dad1ca389049018489ed1c1a64b",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-04-04T05:10:57Z",
    "title_canon_sha256": "033bc11d3c9a089e4a7a1f7ef64615d661bb97d81e8043d794bf8fe48ca044b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.0485",
    "kind": "arxiv",
    "version": 2
  }
}