Pith Number

pith:HEGFDEBU

pith:2016:HEGFDEBUSYKGNMGM2Y44ZJIP42

not attested not anchored not stored refs pending

Monotonicity formulas in potential theory

Lorenzo Mazzieri, Virginia Agostiniani

arxiv:1606.02489 v3 · 2016-06-08 · 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{HEGFDEBUSYKGNMGM2Y44ZJIP42}

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	2026-05-17T23:58:50.523728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

390c519034961466b0ccd639cca50fe6b6e36fff0b6fa12d505f81829186c3f6

Aliases

arxiv: 1606.02489 · arxiv_version: 1606.02489v3 · doi: 10.48550/arxiv.1606.02489 · pith_short_12: HEGFDEBUSYKG · pith_short_16: HEGFDEBUSYKGNMGM · pith_short_8: HEGFDEBU

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/HEGFDEBUSYKGNMGM2Y44ZJIP42 \
  | 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: 390c519034961466b0ccd639cca50fe6b6e36fff0b6fa12d505f81829186c3f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16a4618ff07692a1b79145d260249e464bbd63d36dd2b4352b011a258d49d755",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-06-08T10:14:35Z",
    "title_canon_sha256": "991aa7480ec17fc1d00e8153e560ed8a1c723d6b290a39e8d1a07d576e58b9cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.02489",
    "kind": "arxiv",
    "version": 3
  }
}