Pith Number

pith:ECNSXASE

pith:2013:ECNSXASE75AUI3RJHSG2G4OSDR

not attested not anchored not stored refs pending

The $p$-Royden and $p$-harmonic boundaries for metric measure spaces

Marcello Lucia, Michael Puls

arxiv:1309.3596 v4 · 2013-09-13 · math.MG · 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{ECNSXASE75AUI3RJHSG2G4OSDR}

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	2026-05-18T01:55:53.608105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

209b2b8244ff41446e293c8da371d21c7b3641d2504111507ca04f2ae91b6ef7

Aliases

arxiv: 1309.3596 · arxiv_version: 1309.3596v4 · doi: 10.48550/arxiv.1309.3596 · pith_short_12: ECNSXASE75AU · pith_short_16: ECNSXASE75AUI3RJ · pith_short_8: ECNSXASE

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/ECNSXASE75AUI3RJHSG2G4OSDR \
  | 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: 209b2b8244ff41446e293c8da371d21c7b3641d2504111507ca04f2ae91b6ef7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df4e2d422d33004a716111332ccc05c6f682ba9fd32fcdc6196a66abea516970",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-09-13T21:56:20Z",
    "title_canon_sha256": "e06af1442c161d05df44dc405555dd025339707cdb1b0158dab10d100ebed480"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3596",
    "kind": "arxiv",
    "version": 4
  }
}