Pith Number

pith:4BZHO4C5

pith:2015:4BZHO4C5MSMZVMPABFIGC3BNRV

not attested not anchored not stored refs pending

$\sigma$-finiteness of elliptic measures for quasilinear elliptic PDE in space

Andrew Vogel, John Lewis, Murat Akman

arxiv:1509.07068 v2 · 2015-09-23 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4BZHO4C5MSMZVMPABFIGC3BNRV}

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	2026-05-18T01:31:29.531239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e07277705d64999ab1e00950616c2d8d6baa080e6fde093b75c908b969178adb

Aliases

arxiv: 1509.07068 · arxiv_version: 1509.07068v2 · doi: 10.48550/arxiv.1509.07068 · pith_short_12: 4BZHO4C5MSMZ · pith_short_16: 4BZHO4C5MSMZVMPA · pith_short_8: 4BZHO4C5

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/4BZHO4C5MSMZVMPABFIGC3BNRV \
  | 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: e07277705d64999ab1e00950616c2d8d6baa080e6fde093b75c908b969178adb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e6eb0bc9048b2d1305977a0f3e332ae505d3d4fbccdfa9d5add4a4bc80968e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-23T17:21:04Z",
    "title_canon_sha256": "8d784ea58695b78a24f70f28dbdd62c37f58803a4ce7c5db59357731da196644"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07068",
    "kind": "arxiv",
    "version": 2
  }
}