Pith Number

pith:EOC6J3X2

pith:2009:EOC6J3X2LGQLA3S5TG7VE6J5TC

not attested not anchored not stored refs pending

Existence and Regularity for an Energy Maximization Problem in Two Dimensions

Evguenii A. Rakhmanov, Spyridon Kamvissis

arxiv:0907.5571 v3 · 2009-07-31 · math.CV · 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{EOC6J3X2LGQLA3S5TG7VE6J5TC}

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	2026-05-18T01:10:43.316291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2385e4eefa59a0b06e5d99bf52793d98a21ab0520e6693f08d6082558f82ae9c

Aliases

arxiv: 0907.5571 · arxiv_version: 0907.5571v3 · doi: 10.48550/arxiv.0907.5571 · pith_short_12: EOC6J3X2LGQL · pith_short_16: EOC6J3X2LGQLA3S5 · pith_short_8: EOC6J3X2

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/EOC6J3X2LGQLA3S5TG7VE6J5TC \
  | 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: 2385e4eefa59a0b06e5d99bf52793d98a21ab0520e6693f08d6082558f82ae9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58db90a2e490eb509047880e2bff8aa78f2ef2ed4510156038fa290022de93d5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2009-07-31T16:29:09Z",
    "title_canon_sha256": "0ad3b1b1c948b090c7eb2719927baf0e7eb608f84dbfbabe38da90522c3b9ffb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.5571",
    "kind": "arxiv",
    "version": 3
  }
}