Pith Number

pith:CGSSU65F

pith:2012:CGSSU65FGHU4E6CG54FONLTKD7

not attested not anchored not stored refs pending

Necessary and sufficient conditions for the solvability of the Gauss variational problem for infinite dimensional vector measures

Natalia Zorii

arxiv:1207.0604 v1 · 2012-07-03 · math.CA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CGSSU65FGHU4E6CG54FONLTKD7}

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	2026-05-18T03:51:57.663772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11a52a7ba531e9c27846ef0ae6ae6a1fff38d62b947b3c8667134cff420af9d5

Aliases

arxiv: 1207.0604 · arxiv_version: 1207.0604v1 · doi: 10.48550/arxiv.1207.0604 · pith_short_12: CGSSU65FGHU4 · pith_short_16: CGSSU65FGHU4E6CG · pith_short_8: CGSSU65F

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/CGSSU65FGHU4E6CG54FONLTKD7 \
  | 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: 11a52a7ba531e9c27846ef0ae6ae6a1fff38d62b947b3c8667134cff420af9d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9c378550468cee0c1b75801daae69ab9927aeaac1a6dcd696b7fbf540d945d7",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-07-03T08:15:16Z",
    "title_canon_sha256": "360f4d9239782220994067130f653438f15653510ee3f7b71f5767548f4adff1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0604",
    "kind": "arxiv",
    "version": 1
  }
}