Pith Number

pith:PHEDOUSX

pith:2010:PHEDOUSXMDDPG65RDAU3OKQ5RD

not attested not anchored not stored refs pending

Symmetry and uniqueness of minimizers of Hartree type equations with external Coulomb potential

George Venkov, Vladimir Georgiev

arxiv:1008.3871 v2 · 2010-08-23 · 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{PHEDOUSXMDDPG65RDAU3OKQ5RD}

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	2026-05-18T04:33:49.573122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79c837525760c6f37bb11829b72a1d88ec7f2e58aa0d97b40697cfdf56079380

Aliases

arxiv: 1008.3871 · arxiv_version: 1008.3871v2 · doi: 10.48550/arxiv.1008.3871 · pith_short_12: PHEDOUSXMDDP · pith_short_16: PHEDOUSXMDDPG65R · pith_short_8: PHEDOUSX

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/PHEDOUSXMDDPG65RDAU3OKQ5RD \
  | 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: 79c837525760c6f37bb11829b72a1d88ec7f2e58aa0d97b40697cfdf56079380

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "697c461c04fe30f6cc3402c7256ce23d9c12bf22b9b30c11a2c8dbb43499ffeb",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-08-23T17:47:48Z",
    "title_canon_sha256": "f320d8e1f72d9d378d3c4a504e15db8c6239e55778b0fa220a1f8ad4f55cace8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3871",
    "kind": "arxiv",
    "version": 2
  }
}