Pith Number

pith:BW7EODNW

pith:2010:BW7EODNWNM3H6FPKM6ILEOO5TQ

not attested not anchored not stored refs pending

On translation invariant constrained minimization problems with application to Schr\"odinger-Poisson equation

Gaetano Siciliano, Jacopo Bellazzini

arxiv:1007.4139 v2 · 2010-07-23 · 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{BW7EODNWNM3H6FPKM6ILEOO5TQ}

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	2026-05-18T04:35:14.654454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0dbe470db66b367f15ea6790b239dd9c147c34cade5851b1f20bbca95c69f767

Aliases

arxiv: 1007.4139 · arxiv_version: 1007.4139v2 · doi: 10.48550/arxiv.1007.4139 · pith_short_12: BW7EODNWNM3H · pith_short_16: BW7EODNWNM3H6FPK · pith_short_8: BW7EODNW

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/BW7EODNWNM3H6FPKM6ILEOO5TQ \
  | 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: 0dbe470db66b367f15ea6790b239dd9c147c34cade5851b1f20bbca95c69f767

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81ef998f1404f871508b9da11d134f7e7b6bbceb2bd3820c45401f2a8920169b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-07-23T14:30:50Z",
    "title_canon_sha256": "4c17f71925dd8b085bf7e5e8b1ac0186ca091fa3100890849c68bb489b0a2e6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.4139",
    "kind": "arxiv",
    "version": 2
  }
}