Pith Number

pith:BODQ4DQH

pith:2011:BODQ4DQHFENHB75RCLTN4OZ3KB

not attested not anchored not stored refs pending

Convexity of solutions and Brunn-Minkowski inequalities for Hessian equations in $\R^3$

Paolo Salani

arxiv:1101.0496 v1 · 2011-01-03 · 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{BODQ4DQHFENHB75RCLTN4OZ3KB}

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	2026-05-18T04:32:10.285521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b870e0e07291a70ffb112e6de3b3b507a19bc6db23ec9e98473feef70131d1d

Aliases

arxiv: 1101.0496 · arxiv_version: 1101.0496v1 · doi: 10.48550/arxiv.1101.0496 · pith_short_12: BODQ4DQHFENH · pith_short_16: BODQ4DQHFENHB75R · pith_short_8: BODQ4DQH

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/BODQ4DQHFENHB75RCLTN4OZ3KB \
  | 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: 0b870e0e07291a70ffb112e6de3b3b507a19bc6db23ec9e98473feef70131d1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e613a15d32f604ae5fb1da9e10d0ef26325f0a3210ce91c2a9e93c71e2c5ab18",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-01-03T11:36:18Z",
    "title_canon_sha256": "dd0b8857241d5021fd8702db85c54fee1b1ea6b4fa1b8d36aeccbe7e540a4878"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0496",
    "kind": "arxiv",
    "version": 1
  }
}