Pith Number

pith:PBKKA3C5

pith:2015:PBKKA3C5DIBDU2LJR7UZSKCXRN

not attested not anchored not stored refs pending

Differentiability and Poincar\'e-type inequalities in metric measure spaces

David Bate, Sean Li

arxiv:1505.05793 v3 · 2015-05-21 · math.MG · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PBKKA3C5DIBDU2LJR7UZSKCXRN}

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	2026-05-18T00:05:40.083426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7854a06c5d1a023a69698fe99928578b75b068021ac04e0bfd9cba1e6fd25f7a

Aliases

arxiv: 1505.05793 · arxiv_version: 1505.05793v3 · doi: 10.48550/arxiv.1505.05793 · pith_short_12: PBKKA3C5DIBD · pith_short_16: PBKKA3C5DIBDU2LJ · pith_short_8: PBKKA3C5

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/PBKKA3C5DIBDU2LJR7UZSKCXRN \
  | 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: 7854a06c5d1a023a69698fe99928578b75b068021ac04e0bfd9cba1e6fd25f7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b67bc3dc48882a4ce0edf0553c109f28dea4e792d1e23d6258697c9135d8ef85",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-05-21T17:13:22Z",
    "title_canon_sha256": "ddf02ad7695a4ea2879eaaeeac0fcf14a5c18e4f98a45c0cc6a0f160746043d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.05793",
    "kind": "arxiv",
    "version": 3
  }
}