Pith Number

pith:GMOM2WR4

pith:2015:GMOM2WR4LKQJM5SCGWVXF36B4P

not attested not anchored not stored refs pending

Isoperimetric weights and generalized uncertainty inequalities in metric measure spaces

Joaquim Martin, Mario Milman

arxiv:1501.06556 v4 · 2015-01-26 · 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{GMOM2WR4LKQJM5SCGWVXF36B4P}

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	2026-05-18T00:43:36.180615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

331ccd5a3c5aa096764235ab72efc1e3c15c83bd26dd40f74015d6e4a7748f7c

Aliases

arxiv: 1501.06556 · arxiv_version: 1501.06556v4 · doi: 10.48550/arxiv.1501.06556 · pith_short_12: GMOM2WR4LKQJ · pith_short_16: GMOM2WR4LKQJM5SC · pith_short_8: GMOM2WR4

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/GMOM2WR4LKQJM5SCGWVXF36B4P \
  | 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: 331ccd5a3c5aa096764235ab72efc1e3c15c83bd26dd40f74015d6e4a7748f7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5f7af9fed096442aaf14615aec2ad22bc8fe1c0fcd5fab5f91715ca679b7ef9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-01-26T20:38:56Z",
    "title_canon_sha256": "f6b5e9a9db95982461d4ed8ce13ffc88765fdf2dd6c34b19e3f034dc9de56f3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06556",
    "kind": "arxiv",
    "version": 4
  }
}