Pith Number

pith:DU7D5F6R

pith:2014:DU7D5F6RGCFFDKPNWWXD4YXZFX

not attested not anchored not stored refs pending

Martin boundary of a fine domain and a Fatou-Naim-Doob theorem for finely superharmonic functions

Bent Fuglede, Mohamed El Kadiri

arxiv:1403.0857 v9 · 2014-03-04 · 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{DU7D5F6RGCFFDKPNWWXD4YXZFX}

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	2026-05-18T01:36:11.361273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d3e3e97d1308a51a9edb5ae3e62f92de0c00a2a5f1b6b3ad0a2f516a8456ec7

Aliases

arxiv: 1403.0857 · arxiv_version: 1403.0857v9 · doi: 10.48550/arxiv.1403.0857 · pith_short_12: DU7D5F6RGCFF · pith_short_16: DU7D5F6RGCFFDKPN · pith_short_8: DU7D5F6R

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/DU7D5F6RGCFFDKPNWWXD4YXZFX \
  | 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: 1d3e3e97d1308a51a9edb5ae3e62f92de0c00a2a5f1b6b3ad0a2f516a8456ec7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1310308886118afca1f40b7bd0dcb99249d23f13968cd60780be48619f18e9fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-03-04T16:58:56Z",
    "title_canon_sha256": "d4152469572ef62246d5178c8caab84c431687c7b2e1d4631e56aab4fa440e7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.0857",
    "kind": "arxiv",
    "version": 9
  }
}