Pith Number

pith:VDHDREWP

pith:2008:VDHDREWPKYVPOLUV2J5OSXZ4RD

not attested not anchored not stored refs pending

Uniqueness of Ground States for Pseudo-Relativistic Hartree Equations

Enno Lenzmann

arxiv:0801.3976 v2 · 2008-01-25 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VDHDREWPKYVPOLUV2J5OSXZ4RD}

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	2026-05-18T04:07:29.505305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8ce3892cf562af72e95d27ae95f3c88da166e6b2264043b7e81feedb7a8f1b3

Aliases

arxiv: 0801.3976 · arxiv_version: 0801.3976v2 · doi: 10.48550/arxiv.0801.3976 · pith_short_12: VDHDREWPKYVP · pith_short_16: VDHDREWPKYVPOLUV · pith_short_8: VDHDREWP

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/VDHDREWPKYVPOLUV2J5OSXZ4RD \
  | 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: a8ce3892cf562af72e95d27ae95f3c88da166e6b2264043b7e81feedb7a8f1b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1686ca2a1f42f9cdd451abdfd9cc5313956ca56e91399e0bfd98e96a7351ea0d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2008-01-25T16:51:01Z",
    "title_canon_sha256": "b75e0c1d42f361f14b3f3fc1cdfd38d13b35f0c337cfda1b12b9d4f0708f78eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.3976",
    "kind": "arxiv",
    "version": 2
  }
}